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Finding the Fourth Proportional to 159,682.60, 239,264.70 and 100,412.20

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Solution

The fourth proportional to 159,682.60, 239,264.70 and 100,412.20 is: 150,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,682.60 : 239,264.70 = 100,412.20 : x
  2. Step 2: Convert to fraction form
    159,682.60/239,264.70 = 100,412.20/x
  3. Step 3: Cross multiply
    159,682.60x = 239,264.70 × 100,412.20
  4. Step 4: Simplify right side
    159,682.60x = 24,025,094,909.34
  5. Step 5: Solve for x
    x = 24,025,094,909.34/159,682.60
  6. Step 6: Final answer
    x = 150,455.31

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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.