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Finding the Fourth Proportional to 101,726.50, 152,589.78 and 31,605.82

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Solution

The fourth proportional to 101,726.50, 152,589.78 and 31,605.82 is: 47,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,726.50 : 152,589.78 = 31,605.82 : x
  2. Step 2: Convert to fraction form
    101,726.50/152,589.78 = 31,605.82/x
  3. Step 3: Cross multiply
    101,726.50x = 152,589.78 × 31,605.82
  4. Step 4: Simplify right side
    101,726.50x = 4,822,725,120.52
  5. Step 5: Solve for x
    x = 4,822,725,120.52/101,726.50
  6. Step 6: Final answer
    x = 47,408.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.