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Finding the Fourth Proportional to 99,691,906.10, 149,691,823.95 and 54,342,274.10

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Solution

The fourth proportional to 99,691,906.10, 149,691,823.95 and 54,342,274.10 is: 81,597,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,691,906.10 : 149,691,823.95 = 54,342,274.10 : x
  2. Step 2: Convert to fraction form
    99,691,906.10/149,691,823.95 = 54,342,274.10/x
  3. Step 3: Cross multiply
    99,691,906.10x = 149,691,823.95 × 54,342,274.10
  4. Step 4: Simplify right side
    99,691,906.10x = 8,134,594,127,619,844
  5. Step 5: Solve for x
    x = 8,134,594,127,619,844/99,691,906.10
  6. Step 6: Final answer
    x = 81,597,337.70

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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.