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Finding the Fourth Proportional to 159,620.28, 239,432.76 and 47,311.86

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Solution

The fourth proportional to 159,620.28, 239,432.76 and 47,311.86 is: 70,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,620.28 : 239,432.76 = 47,311.86 : x
  2. Step 2: Convert to fraction form
    159,620.28/239,432.76 = 47,311.86/x
  3. Step 3: Cross multiply
    159,620.28x = 239,432.76 × 47,311.86
  4. Step 4: Simplify right side
    159,620.28x = 11,328,009,220.53
  5. Step 5: Solve for x
    x = 11,328,009,220.53/159,620.28
  6. Step 6: Final answer
    x = 70,968.48

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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.