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Finding the Fourth Proportional to 270,803.27, 406,223.35 and 71,123.31

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Solution

The fourth proportional to 270,803.27, 406,223.35 and 71,123.31 is: 106,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,803.27 : 406,223.35 = 71,123.31 : x
  2. Step 2: Convert to fraction form
    270,803.27/406,223.35 = 71,123.31/x
  3. Step 3: Cross multiply
    270,803.27x = 406,223.35 × 71,123.31
  4. Step 4: Simplify right side
    270,803.27x = 28,891,949,073.48
  5. Step 5: Solve for x
    x = 28,891,949,073.48/270,803.27
  6. Step 6: Final answer
    x = 106,689.81

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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.