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Finding the Fourth Proportional to 69,138.52, 103,686.14 and 22,381.72

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Solution

The fourth proportional to 69,138.52, 103,686.14 and 22,381.72 is: 33,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.52 : 103,686.14 = 22,381.72 : x
  2. Step 2: Convert to fraction form
    69,138.52/103,686.14 = 22,381.72/x
  3. Step 3: Cross multiply
    69,138.52x = 103,686.14 × 22,381.72
  4. Step 4: Simplify right side
    69,138.52x = 2,320,674,153.36
  5. Step 5: Solve for x
    x = 2,320,674,153.36/69,138.52
  6. Step 6: Final answer
    x = 33,565.57

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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.