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Finding the Fourth Proportional to 99,775.64, 137,690.79 and 54,454.58

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Solution

The fourth proportional to 99,775.64, 137,690.79 and 54,454.58 is: 75,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,775.64 : 137,690.79 = 54,454.58 : x
  2. Step 2: Convert to fraction form
    99,775.64/137,690.79 = 54,454.58/x
  3. Step 3: Cross multiply
    99,775.64x = 137,690.79 × 54,454.58
  4. Step 4: Simplify right side
    99,775.64x = 7,497,894,139.32
  5. Step 5: Solve for x
    x = 7,497,894,139.32/99,775.64
  6. Step 6: Final answer
    x = 75,147.54

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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.