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Finding the Fourth Proportional to 72,556.47, 108,876.74 and 30,432.80

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Solution

The fourth proportional to 72,556.47, 108,876.74 and 30,432.80 is: 45,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,556.47 : 108,876.74 = 30,432.80 : x
  2. Step 2: Convert to fraction form
    72,556.47/108,876.74 = 30,432.80/x
  3. Step 3: Cross multiply
    72,556.47x = 108,876.74 × 30,432.80
  4. Step 4: Simplify right side
    72,556.47x = 3,313,423,356.52
  5. Step 5: Solve for x
    x = 3,313,423,356.52/72,556.47
  6. Step 6: Final answer
    x = 45,666.82

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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.