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Finding the Fourth Proportional to 76,543.92, 114,736.91 and 55,430.87

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Solution

The fourth proportional to 76,543.92, 114,736.91 and 55,430.87 is: 83,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,543.92 : 114,736.91 = 55,430.87 : x
  2. Step 2: Convert to fraction form
    76,543.92/114,736.91 = 55,430.87/x
  3. Step 3: Cross multiply
    76,543.92x = 114,736.91 × 55,430.87
  4. Step 4: Simplify right side
    76,543.92x = 6,359,965,891.57
  5. Step 5: Solve for x
    x = 6,359,965,891.57/76,543.92
  6. Step 6: Final answer
    x = 83,089.11

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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.