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Finding the Fourth Proportional to 135,062, 186,385.56 and 75,446

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Solution

The fourth proportional to 135,062, 186,385.56 and 75,446 is: 104,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,062 : 186,385.56 = 75,446 : x
  2. Step 2: Convert to fraction form
    135,062/186,385.56 = 75,446/x
  3. Step 3: Cross multiply
    135,062x = 186,385.56 × 75,446
  4. Step 4: Simplify right side
    135,062x = 14,062,044,959.76
  5. Step 5: Solve for x
    x = 14,062,044,959.76/135,062
  6. Step 6: Final answer
    x = 104,115.48

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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.