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Finding the Fourth Proportional to 72,908.57, 109,365.17 and 22,989.10

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Solution

The fourth proportional to 72,908.57, 109,365.17 and 22,989.10 is: 34,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,908.57 : 109,365.17 = 22,989.10 : x
  2. Step 2: Convert to fraction form
    72,908.57/109,365.17 = 22,989.10/x
  3. Step 3: Cross multiply
    72,908.57x = 109,365.17 × 22,989.10
  4. Step 4: Simplify right side
    72,908.57x = 2,514,206,829.65
  5. Step 5: Solve for x
    x = 2,514,206,829.65/72,908.57
  6. Step 6: Final answer
    x = 34,484.38

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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.