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Finding the Fourth Proportional to 99,875.76, 137,827.80 and 54,553.76

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Solution

The fourth proportional to 99,875.76, 137,827.80 and 54,553.76 is: 75,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,875.76 : 137,827.80 = 54,553.76 : x
  2. Step 2: Convert to fraction form
    99,875.76/137,827.80 = 54,553.76/x
  3. Step 3: Cross multiply
    99,875.76x = 137,827.80 × 54,553.76
  4. Step 4: Simplify right side
    99,875.76x = 7,519,024,722.53
  5. Step 5: Solve for x
    x = 7,519,024,722.53/99,875.76
  6. Step 6: Final answer
    x = 75,283.78

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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.