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Finding the Fourth Proportional to 147,270.86, 220,840.68 and 53,711

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Solution

The fourth proportional to 147,270.86, 220,840.68 and 53,711 is: 80,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,270.86 : 220,840.68 = 53,711 : x
  2. Step 2: Convert to fraction form
    147,270.86/220,840.68 = 53,711/x
  3. Step 3: Cross multiply
    147,270.86x = 220,840.68 × 53,711
  4. Step 4: Simplify right side
    147,270.86x = 11,861,573,763.48
  5. Step 5: Solve for x
    x = 11,861,573,763.48/147,270.86
  6. Step 6: Final answer
    x = 80,542.57

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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.