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Finding the Fourth Proportional to 64,737.76, 89,286.96 and 42,377.44

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Solution

The fourth proportional to 64,737.76, 89,286.96 and 42,377.44 is: 58,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,737.76 : 89,286.96 = 42,377.44 : x
  2. Step 2: Convert to fraction form
    64,737.76/89,286.96 = 42,377.44/x
  3. Step 3: Cross multiply
    64,737.76x = 89,286.96 × 42,377.44
  4. Step 4: Simplify right side
    64,737.76x = 3,783,752,790.18
  5. Step 5: Solve for x
    x = 3,783,752,790.18/64,737.76
  6. Step 6: Final answer
    x = 58,447.39

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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.