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Finding the Fourth Proportional to 135,513, 187,007.94 and 75,897

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Solution

The fourth proportional to 135,513, 187,007.94 and 75,897 is: 104,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,513 : 187,007.94 = 75,897 : x
  2. Step 2: Convert to fraction form
    135,513/187,007.94 = 75,897/x
  3. Step 3: Cross multiply
    135,513x = 187,007.94 × 75,897
  4. Step 4: Simplify right side
    135,513x = 14,193,341,622.18
  5. Step 5: Solve for x
    x = 14,193,341,622.18/135,513
  6. Step 6: Final answer
    x = 104,737.86

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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.