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Finding the Fourth Proportional to 128,046.54, 176,704.38 and 71,457.96

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Solution

The fourth proportional to 128,046.54, 176,704.38 and 71,457.96 is: 98,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,046.54 : 176,704.38 = 71,457.96 : x
  2. Step 2: Convert to fraction form
    128,046.54/176,704.38 = 71,457.96/x
  3. Step 3: Cross multiply
    128,046.54x = 176,704.38 × 71,457.96
  4. Step 4: Simplify right side
    128,046.54x = 12,626,934,517.86
  5. Step 5: Solve for x
    x = 12,626,934,517.86/128,046.54
  6. Step 6: Final answer
    x = 98,612.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.