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Finding the Fourth Proportional to 135,283.88, 186,679.44 and 77,908

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Solution

The fourth proportional to 135,283.88, 186,679.44 and 77,908 is: 107,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,283.88 : 186,679.44 = 77,908 : x
  2. Step 2: Convert to fraction form
    135,283.88/186,679.44 = 77,908/x
  3. Step 3: Cross multiply
    135,283.88x = 186,679.44 × 77,908
  4. Step 4: Simplify right side
    135,283.88x = 14,543,821,811.52
  5. Step 5: Solve for x
    x = 14,543,821,811.52/135,283.88
  6. Step 6: Final answer
    x = 107,505.95

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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.