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Finding the Fourth Proportional to 92,050.56, 137,898 and 77,081.76

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Solution

The fourth proportional to 92,050.56, 137,898 and 77,081.76 is: 115,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,050.56 : 137,898 = 77,081.76 : x
  2. Step 2: Convert to fraction form
    92,050.56/137,898 = 77,081.76/x
  3. Step 3: Cross multiply
    92,050.56x = 137,898 × 77,081.76
  4. Step 4: Simplify right side
    92,050.56x = 10,629,420,540.48
  5. Step 5: Solve for x
    x = 10,629,420,540.48/92,050.56
  6. Step 6: Final answer
    x = 115,473.72

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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.