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Finding the Fourth Proportional to 138,320.64, 190,892.16 and 78,704.64

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Solution

The fourth proportional to 138,320.64, 190,892.16 and 78,704.64 is: 108,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,320.64 : 190,892.16 = 78,704.64 : x
  2. Step 2: Convert to fraction form
    138,320.64/190,892.16 = 78,704.64/x
  3. Step 3: Cross multiply
    138,320.64x = 190,892.16 × 78,704.64
  4. Step 4: Simplify right side
    138,320.64x = 15,024,098,731.62
  5. Step 5: Solve for x
    x = 15,024,098,731.62/138,320.64
  6. Step 6: Final answer
    x = 108,617.91

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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.