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Finding the Fourth Proportional to 135,499.68, 187,010.88 and 77,356.56

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Solution

The fourth proportional to 135,499.68, 187,010.88 and 77,356.56 is: 106,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,499.68 : 187,010.88 = 77,356.56 : x
  2. Step 2: Convert to fraction form
    135,499.68/187,010.88 = 77,356.56/x
  3. Step 3: Cross multiply
    135,499.68x = 187,010.88 × 77,356.56
  4. Step 4: Simplify right side
    135,499.68x = 14,466,518,359.37
  5. Step 5: Solve for x
    x = 14,466,518,359.37/135,499.68
  6. Step 6: Final answer
    x = 106,764.23

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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.