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Finding the Fourth Proportional to 219,687.32, 329,304.72 and 86,513.60

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Solution

The fourth proportional to 219,687.32, 329,304.72 and 86,513.60 is: 129,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,687.32 : 329,304.72 = 86,513.60 : x
  2. Step 2: Convert to fraction form
    219,687.32/329,304.72 = 86,513.60/x
  3. Step 3: Cross multiply
    219,687.32x = 329,304.72 × 86,513.60
  4. Step 4: Simplify right side
    219,687.32x = 28,489,336,824.19
  5. Step 5: Solve for x
    x = 28,489,336,824.19/219,687.32
  6. Step 6: Final answer
    x = 129,681.30

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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.