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Finding the Fourth Proportional to 135,871.85, 187,503.52 and 75,442.61

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Solution

The fourth proportional to 135,871.85, 187,503.52 and 75,442.61 is: 104,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,871.85 : 187,503.52 = 75,442.61 : x
  2. Step 2: Convert to fraction form
    135,871.85/187,503.52 = 75,442.61/x
  3. Step 3: Cross multiply
    135,871.85x = 187,503.52 × 75,442.61
  4. Step 4: Simplify right side
    135,871.85x = 14,145,754,932.99
  5. Step 5: Solve for x
    x = 14,145,754,932.99/135,871.85
  6. Step 6: Final answer
    x = 104,111.01

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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.