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Finding the Fourth Proportional to 210,686.63, 316,029.94 and 70,448.90

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Solution

The fourth proportional to 210,686.63, 316,029.94 and 70,448.90 is: 105,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,686.63 : 316,029.94 = 70,448.90 : x
  2. Step 2: Convert to fraction form
    210,686.63/316,029.94 = 70,448.90/x
  3. Step 3: Cross multiply
    210,686.63x = 316,029.94 × 70,448.90
  4. Step 4: Simplify right side
    210,686.63x = 22,263,959,883.79
  5. Step 5: Solve for x
    x = 22,263,959,883.79/210,686.63
  6. Step 6: Final answer
    x = 105,673.34

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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.