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Finding the Fourth Proportional to 80,202, 120,247.56 and 57,726.48

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Solution

The fourth proportional to 80,202, 120,247.56 and 57,726.48 is: 86,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,202 : 120,247.56 = 57,726.48 : x
  2. Step 2: Convert to fraction form
    80,202/120,247.56 = 57,726.48/x
  3. Step 3: Cross multiply
    80,202x = 120,247.56 × 57,726.48
  4. Step 4: Simplify right side
    80,202x = 6,941,468,367.39
  5. Step 5: Solve for x
    x = 6,941,468,367.39/80,202
  6. Step 6: Final answer
    x = 86,549.82

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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.