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Finding the Fourth Proportional to 78,409.53, 117,499.46 and 38,887.71

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Solution

The fourth proportional to 78,409.53, 117,499.46 and 38,887.71 is: 58,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.53 : 117,499.46 = 38,887.71 : x
  2. Step 2: Convert to fraction form
    78,409.53/117,499.46 = 38,887.71/x
  3. Step 3: Cross multiply
    78,409.53x = 117,499.46 × 38,887.71
  4. Step 4: Simplify right side
    78,409.53x = 4,569,284,731.20
  5. Step 5: Solve for x
    x = 4,569,284,731.20/78,409.53
  6. Step 6: Final answer
    x = 58,274.61

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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.