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Finding the Fourth Proportional to 83,989, 126,002.94 and 28,585

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Solution

The fourth proportional to 83,989, 126,002.94 and 28,585 is: 42,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989 : 126,002.94 = 28,585 : x
  2. Step 2: Convert to fraction form
    83,989/126,002.94 = 28,585/x
  3. Step 3: Cross multiply
    83,989x = 126,002.94 × 28,585
  4. Step 4: Simplify right side
    83,989x = 3,601,794,039.90
  5. Step 5: Solve for x
    x = 3,601,794,039.90/83,989
  6. Step 6: Final answer
    x = 42,884.12

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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.