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Finding the Fourth Proportional to 77,737.92, 107,286.49 and 45,909.78

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Solution

The fourth proportional to 77,737.92, 107,286.49 and 45,909.78 is: 63,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,737.92 : 107,286.49 = 45,909.78 : x
  2. Step 2: Convert to fraction form
    77,737.92/107,286.49 = 45,909.78/x
  3. Step 3: Cross multiply
    77,737.92x = 107,286.49 × 45,909.78
  4. Step 4: Simplify right side
    77,737.92x = 4,925,499,152.87
  5. Step 5: Solve for x
    x = 4,925,499,152.87/77,737.92
  6. Step 6: Final answer
    x = 63,360.32

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1.5x scale

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.