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Finding the Fourth Proportional to 159,645.60, 239,468.40 and 146,743.20

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Solution

The fourth proportional to 159,645.60, 239,468.40 and 146,743.20 is: 220,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,645.60 : 239,468.40 = 146,743.20 : x
  2. Step 2: Convert to fraction form
    159,645.60/239,468.40 = 146,743.20/x
  3. Step 3: Cross multiply
    159,645.60x = 239,468.40 × 146,743.20
  4. Step 4: Simplify right side
    159,645.60x = 35,140,359,314.88
  5. Step 5: Solve for x
    x = 35,140,359,314.88/159,645.60
  6. Step 6: Final answer
    x = 220,114.80

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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.