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Finding the Fourth Proportional to 138,755.20, 208,142.10 and 48,787.14

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Solution

The fourth proportional to 138,755.20, 208,142.10 and 48,787.14 is: 73,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755.20 : 208,142.10 = 48,787.14 : x
  2. Step 2: Convert to fraction form
    138,755.20/208,142.10 = 48,787.14/x
  3. Step 3: Cross multiply
    138,755.20x = 208,142.10 × 48,787.14
  4. Step 4: Simplify right side
    138,755.20x = 10,154,657,772.59
  5. Step 5: Solve for x
    x = 10,154,657,772.59/138,755.20
  6. Step 6: Final answer
    x = 73,183.98

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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.