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Finding the Fourth Proportional to 135,498.31, 186,972.55 and 75,053.97

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Solution

The fourth proportional to 135,498.31, 186,972.55 and 75,053.97 is: 103,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,498.31 : 186,972.55 = 75,053.97 : x
  2. Step 2: Convert to fraction form
    135,498.31/186,972.55 = 75,053.97/x
  3. Step 3: Cross multiply
    135,498.31x = 186,972.55 × 75,053.97
  4. Step 4: Simplify right side
    135,498.31x = 14,033,031,970.89
  5. Step 5: Solve for x
    x = 14,033,031,970.89/135,498.31
  6. Step 6: Final answer
    x = 103,566.11

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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.