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Finding the Fourth Proportional to 101,640.12, 152,599.82 and 51,753.72

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Solution

The fourth proportional to 101,640.12, 152,599.82 and 51,753.72 is: 77,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,640.12 : 152,599.82 = 51,753.72 : x
  2. Step 2: Convert to fraction form
    101,640.12/152,599.82 = 51,753.72/x
  3. Step 3: Cross multiply
    101,640.12x = 152,599.82 × 51,753.72
  4. Step 4: Simplify right side
    101,640.12x = 7,897,608,356.33
  5. Step 5: Solve for x
    x = 7,897,608,356.33/101,640.12
  6. Step 6: Final answer
    x = 77,701.68

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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.