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Finding the Fourth Proportional to 99,691,908.10, 149,691,826.95 and 54,342,276.10

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Solution

The fourth proportional to 99,691,908.10, 149,691,826.95 and 54,342,276.10 is: 81,597,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,691,908.10 : 149,691,826.95 = 54,342,276.10 : x
  2. Step 2: Convert to fraction form
    99,691,908.10/149,691,826.95 = 54,342,276.10/x
  3. Step 3: Cross multiply
    99,691,908.10x = 149,691,826.95 × 54,342,276.10
  4. Step 4: Simplify right side
    99,691,908.10x = 8,134,594,590,030,320
  5. Step 5: Solve for x
    x = 8,134,594,590,030,320/99,691,908.10
  6. Step 6: Final answer
    x = 81,597,340.70

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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.