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Finding the Fourth Proportional to 78,409.65, 117,499.65 and 38,887.83

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Solution

The fourth proportional to 78,409.65, 117,499.65 and 38,887.83 is: 58,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.65 : 117,499.65 = 38,887.83 : x
  2. Step 2: Convert to fraction form
    78,409.65/117,499.65 = 38,887.83/x
  3. Step 3: Cross multiply
    78,409.65x = 117,499.65 × 38,887.83
  4. Step 4: Simplify right side
    78,409.65x = 4,569,306,414.26
  5. Step 5: Solve for x
    x = 4,569,306,414.26/78,409.65
  6. Step 6: Final answer
    x = 58,274.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.