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Finding the Fourth Proportional to 135,158.31, 186,519.78 and 77,809.68

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Solution

The fourth proportional to 135,158.31, 186,519.78 and 77,809.68 is: 107,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,158.31 : 186,519.78 = 77,809.68 : x
  2. Step 2: Convert to fraction form
    135,158.31/186,519.78 = 77,809.68/x
  3. Step 3: Cross multiply
    135,158.31x = 186,519.78 × 77,809.68
  4. Step 4: Simplify right side
    135,158.31x = 14,513,044,395.47
  5. Step 5: Solve for x
    x = 14,513,044,395.47/135,158.31
  6. Step 6: Final answer
    x = 107,378.11

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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.