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Finding the Fourth Proportional to 135,395.49, 186,851.61 and 74,966.13

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Solution

The fourth proportional to 135,395.49, 186,851.61 and 74,966.13 is: 103,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,395.49 : 186,851.61 = 74,966.13 : x
  2. Step 2: Convert to fraction form
    135,395.49/186,851.61 = 74,966.13/x
  3. Step 3: Cross multiply
    135,395.49x = 186,851.61 × 74,966.13
  4. Step 4: Simplify right side
    135,395.49x = 14,007,542,085.97
  5. Step 5: Solve for x
    x = 14,007,542,085.97/135,395.49
  6. Step 6: Final answer
    x = 103,456.49

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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.