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Finding the Fourth Proportional to 99,882.66, 137,865.87 and 57,454.86

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Solution

The fourth proportional to 99,882.66, 137,865.87 and 57,454.86 is: 79,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,882.66 : 137,865.87 = 57,454.86 : x
  2. Step 2: Convert to fraction form
    99,882.66/137,865.87 = 57,454.86/x
  3. Step 3: Cross multiply
    99,882.66x = 137,865.87 × 57,454.86
  4. Step 4: Simplify right side
    99,882.66x = 7,921,064,259.63
  5. Step 5: Solve for x
    x = 7,921,064,259.63/99,882.66
  6. Step 6: Final answer
    x = 79,303.70

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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.