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Finding the Fourth Proportional to 78,387.89, 108,133.82 and 49,656.86

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Solution

The fourth proportional to 78,387.89, 108,133.82 and 49,656.86 is: 68,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,387.89 : 108,133.82 = 49,656.86 : x
  2. Step 2: Convert to fraction form
    78,387.89/108,133.82 = 49,656.86/x
  3. Step 3: Cross multiply
    78,387.89x = 108,133.82 × 49,656.86
  4. Step 4: Simplify right side
    78,387.89x = 5,369,586,125.32
  5. Step 5: Solve for x
    x = 5,369,586,125.32/78,387.89
  6. Step 6: Final answer
    x = 68,500.20

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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.