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Finding the Fourth Proportional to 67,726.35, 101,745.18 and 47,781.72

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Solution

The fourth proportional to 67,726.35, 101,745.18 and 47,781.72 is: 71,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,726.35 : 101,745.18 = 47,781.72 : x
  2. Step 2: Convert to fraction form
    67,726.35/101,745.18 = 47,781.72/x
  3. Step 3: Cross multiply
    67,726.35x = 101,745.18 × 47,781.72
  4. Step 4: Simplify right side
    67,726.35x = 4,861,559,702.11
  5. Step 5: Solve for x
    x = 4,861,559,702.11/67,726.35
  6. Step 6: Final answer
    x = 71,782.40

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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.