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Finding the Fourth Proportional to 55,333.53, 82,988.15 and 15,881.87

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Solution

The fourth proportional to 55,333.53, 82,988.15 and 15,881.87 is: 23,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,333.53 : 82,988.15 = 15,881.87 : x
  2. Step 2: Convert to fraction form
    55,333.53/82,988.15 = 15,881.87/x
  3. Step 3: Cross multiply
    55,333.53x = 82,988.15 × 15,881.87
  4. Step 4: Simplify right side
    55,333.53x = 1,318,007,137.90
  5. Step 5: Solve for x
    x = 1,318,007,137.90/55,333.53
  6. Step 6: Final answer
    x = 23,819.32

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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.