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Finding the Fourth Proportional to 99,761.87, 137,695.02 and 57,345.05

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Solution

The fourth proportional to 99,761.87, 137,695.02 and 57,345.05 is: 79,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,761.87 : 137,695.02 = 57,345.05 : x
  2. Step 2: Convert to fraction form
    99,761.87/137,695.02 = 57,345.05/x
  3. Step 3: Cross multiply
    99,761.87x = 137,695.02 × 57,345.05
  4. Step 4: Simplify right side
    99,761.87x = 7,896,127,806.65
  5. Step 5: Solve for x
    x = 7,896,127,806.65/99,761.87
  6. Step 6: Final answer
    x = 79,149.76

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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.