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Finding the Fourth Proportional to 159,281.80, 238,922.70 and 156,824.20

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Solution

The fourth proportional to 159,281.80, 238,922.70 and 156,824.20 is: 235,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,281.80 : 238,922.70 = 156,824.20 : x
  2. Step 2: Convert to fraction form
    159,281.80/238,922.70 = 156,824.20/x
  3. Step 3: Cross multiply
    159,281.80x = 238,922.70 × 156,824.20
  4. Step 4: Simplify right side
    159,281.80x = 37,468,861,289.34
  5. Step 5: Solve for x
    x = 37,468,861,289.34/159,281.80
  6. Step 6: Final answer
    x = 235,236.30

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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.