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Finding the Fourth Proportional to 117,284.52, 161,855.12 and 66,294.20

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Solution

The fourth proportional to 117,284.52, 161,855.12 and 66,294.20 is: 91,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284.52 : 161,855.12 = 66,294.20 : x
  2. Step 2: Convert to fraction form
    117,284.52/161,855.12 = 66,294.20/x
  3. Step 3: Cross multiply
    117,284.52x = 161,855.12 × 66,294.20
  4. Step 4: Simplify right side
    117,284.52x = 10,730,055,449.47
  5. Step 5: Solve for x
    x = 10,730,055,449.47/117,284.52
  6. Step 6: Final answer
    x = 91,487.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.