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Finding the Fourth Proportional to 210,975,368.80, 316,463,053.20 and 142,100,615.20

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Solution

The fourth proportional to 210,975,368.80, 316,463,053.20 and 142,100,615.20 is: 213,150,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,975,368.80 : 316,463,053.20 = 142,100,615.20 : x
  2. Step 2: Convert to fraction form
    210,975,368.80/316,463,053.20 = 142,100,615.20/x
  3. Step 3: Cross multiply
    210,975,368.80x = 316,463,053.20 × 142,100,615.20
  4. Step 4: Simplify right side
    210,975,368.80x = 44,969,594,547,790,320
  5. Step 5: Solve for x
    x = 44,969,594,547,790,320/210,975,368.80
  6. Step 6: Final answer
    x = 213,150,922.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.