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Finding the Fourth Proportional to 131,892.34, 197,397.87 and 78,410.74

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Solution

The fourth proportional to 131,892.34, 197,397.87 and 78,410.74 is: 117,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,892.34 : 197,397.87 = 78,410.74 : x
  2. Step 2: Convert to fraction form
    131,892.34/197,397.87 = 78,410.74/x
  3. Step 3: Cross multiply
    131,892.34x = 197,397.87 × 78,410.74
  4. Step 4: Simplify right side
    131,892.34x = 15,478,113,061.12
  5. Step 5: Solve for x
    x = 15,478,113,061.12/131,892.34
  6. Step 6: Final answer
    x = 117,354.15

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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.