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Finding the Fourth Proportional to 171,663.60, 257,572.20 and 78,121.20

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Solution

The fourth proportional to 171,663.60, 257,572.20 and 78,121.20 is: 117,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,663.60 : 257,572.20 = 78,121.20 : x
  2. Step 2: Convert to fraction form
    171,663.60/257,572.20 = 78,121.20/x
  3. Step 3: Cross multiply
    171,663.60x = 257,572.20 × 78,121.20
  4. Step 4: Simplify right side
    171,663.60x = 20,121,849,350.64
  5. Step 5: Solve for x
    x = 20,121,849,350.64/171,663.60
  6. Step 6: Final answer
    x = 117,216.75

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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.