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Finding the Fourth Proportional to 114,252, 171,488.80 and 55,129.20

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Solution

The fourth proportional to 114,252, 171,488.80 and 55,129.20 is: 82,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,252 : 171,488.80 = 55,129.20 : x
  2. Step 2: Convert to fraction form
    114,252/171,488.80 = 55,129.20/x
  3. Step 3: Cross multiply
    114,252x = 171,488.80 × 55,129.20
  4. Step 4: Simplify right side
    114,252x = 9,454,040,352.96
  5. Step 5: Solve for x
    x = 9,454,040,352.96/114,252
  6. Step 6: Final answer
    x = 82,747.26

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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.