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Finding the Fourth Proportional to 78,543.20, 117,809.40 and 25,234.40

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Solution

The fourth proportional to 78,543.20, 117,809.40 and 25,234.40 is: 37,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.20 : 117,809.40 = 25,234.40 : x
  2. Step 2: Convert to fraction form
    78,543.20/117,809.40 = 25,234.40/x
  3. Step 3: Cross multiply
    78,543.20x = 117,809.40 × 25,234.40
  4. Step 4: Simplify right side
    78,543.20x = 2,972,849,523.36
  5. Step 5: Solve for x
    x = 2,972,849,523.36/78,543.20
  6. Step 6: Final answer
    x = 37,849.87

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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.