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Finding the Fourth Proportional to 156,407.60, 234,609.20 and 38,079.20

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Solution

The fourth proportional to 156,407.60, 234,609.20 and 38,079.20 is: 57,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,407.60 : 234,609.20 = 38,079.20 : x
  2. Step 2: Convert to fraction form
    156,407.60/234,609.20 = 38,079.20/x
  3. Step 3: Cross multiply
    156,407.60x = 234,609.20 × 38,079.20
  4. Step 4: Simplify right side
    156,407.60x = 8,933,730,648.64
  5. Step 5: Solve for x
    x = 8,933,730,648.64/156,407.60
  6. Step 6: Final answer
    x = 57,118.26

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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.