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Finding the Fourth Proportional to 153,984, 231,068.16 and 66,432

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Solution

The fourth proportional to 153,984, 231,068.16 and 66,432 is: 99,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,984 : 231,068.16 = 66,432 : x
  2. Step 2: Convert to fraction form
    153,984/231,068.16 = 66,432/x
  3. Step 3: Cross multiply
    153,984x = 231,068.16 × 66,432
  4. Step 4: Simplify right side
    153,984x = 15,350,320,005.12
  5. Step 5: Solve for x
    x = 15,350,320,005.12/153,984
  6. Step 6: Final answer
    x = 99,687.76

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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.