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Finding the Fourth Proportional to 135,463.56, 186,941.68 and 78,101.88

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Solution

The fourth proportional to 135,463.56, 186,941.68 and 78,101.88 is: 107,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,463.56 : 186,941.68 = 78,101.88 : x
  2. Step 2: Convert to fraction form
    135,463.56/186,941.68 = 78,101.88/x
  3. Step 3: Cross multiply
    135,463.56x = 186,941.68 × 78,101.88
  4. Step 4: Simplify right side
    135,463.56x = 14,600,496,658.36
  5. Step 5: Solve for x
    x = 14,600,496,658.36/135,463.56
  6. Step 6: Final answer
    x = 107,781.73

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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.