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Finding the Fourth Proportional to 138,646.79, 191,356.11 and 78,234.56

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Solution

The fourth proportional to 138,646.79, 191,356.11 and 78,234.56 is: 107,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.79 : 191,356.11 = 78,234.56 : x
  2. Step 2: Convert to fraction form
    138,646.79/191,356.11 = 78,234.56/x
  3. Step 3: Cross multiply
    138,646.79x = 191,356.11 × 78,234.56
  4. Step 4: Simplify right side
    138,646.79x = 14,970,661,069.16
  5. Step 5: Solve for x
    x = 14,970,661,069.16/138,646.79
  6. Step 6: Final answer
    x = 107,976.98

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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.