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Finding the Fourth Proportional to 99,895.92, 137,860.44 and 57,454.44

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Solution

The fourth proportional to 99,895.92, 137,860.44 and 57,454.44 is: 79,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,895.92 : 137,860.44 = 57,454.44 : x
  2. Step 2: Convert to fraction form
    99,895.92/137,860.44 = 57,454.44/x
  3. Step 3: Cross multiply
    99,895.92x = 137,860.44 × 57,454.44
  4. Step 4: Simplify right side
    99,895.92x = 7,920,694,378.35
  5. Step 5: Solve for x
    x = 7,920,694,378.35/99,895.92
  6. Step 6: Final answer
    x = 79,289.47

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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.