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Finding the Fourth Proportional to 201,698.40, 302,547.60 and 127,048.80

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Solution

The fourth proportional to 201,698.40, 302,547.60 and 127,048.80 is: 190,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.40 : 302,547.60 = 127,048.80 : x
  2. Step 2: Convert to fraction form
    201,698.40/302,547.60 = 127,048.80/x
  3. Step 3: Cross multiply
    201,698.40x = 302,547.60 × 127,048.80
  4. Step 4: Simplify right side
    201,698.40x = 38,438,309,522.88
  5. Step 5: Solve for x
    x = 38,438,309,522.88/201,698.40
  6. Step 6: Final answer
    x = 190,573.20

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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.