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Finding the Fourth Proportional to 156,981.20, 235,471.80 and 51,774.80

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Solution

The fourth proportional to 156,981.20, 235,471.80 and 51,774.80 is: 77,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,981.20 : 235,471.80 = 51,774.80 : x
  2. Step 2: Convert to fraction form
    156,981.20/235,471.80 = 51,774.80/x
  3. Step 3: Cross multiply
    156,981.20x = 235,471.80 × 51,774.80
  4. Step 4: Simplify right side
    156,981.20x = 12,191,505,350.64
  5. Step 5: Solve for x
    x = 12,191,505,350.64/156,981.20
  6. Step 6: Final answer
    x = 77,662.20

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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.