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Finding the Fourth Proportional to 228,471.24, 342,729.80 and 78,691.80

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Solution

The fourth proportional to 228,471.24, 342,729.80 and 78,691.80 is: 118,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,471.24 : 342,729.80 = 78,691.80 : x
  2. Step 2: Convert to fraction form
    228,471.24/342,729.80 = 78,691.80/x
  3. Step 3: Cross multiply
    228,471.24x = 342,729.80 × 78,691.80
  4. Step 4: Simplify right side
    228,471.24x = 26,970,024,875.64
  5. Step 5: Solve for x
    x = 26,970,024,875.64/228,471.24
  6. Step 6: Final answer
    x = 118,045.60

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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.