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Finding the Fourth Proportional to 78,490.80, 117,719.73 and 25,887.96

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Solution

The fourth proportional to 78,490.80, 117,719.73 and 25,887.96 is: 38,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490.80 : 117,719.73 = 25,887.96 : x
  2. Step 2: Convert to fraction form
    78,490.80/117,719.73 = 25,887.96/x
  3. Step 3: Cross multiply
    78,490.80x = 117,719.73 × 25,887.96
  4. Step 4: Simplify right side
    78,490.80x = 3,047,523,661.45
  5. Step 5: Solve for x
    x = 3,047,523,661.45/78,490.80
  6. Step 6: Final answer
    x = 38,826.51

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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.