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Finding the Fourth Proportional to 75,177.72, 103,726.98 and 41,643.72

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Solution

The fourth proportional to 75,177.72, 103,726.98 and 41,643.72 is: 57,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,177.72 : 103,726.98 = 41,643.72 : x
  2. Step 2: Convert to fraction form
    75,177.72/103,726.98 = 41,643.72/x
  3. Step 3: Cross multiply
    75,177.72x = 103,726.98 × 41,643.72
  4. Step 4: Simplify right side
    75,177.72x = 4,319,577,311.57
  5. Step 5: Solve for x
    x = 4,319,577,311.57/75,177.72
  6. Step 6: Final answer
    x = 57,458.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.