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Finding the Fourth Proportional to 99,690.57, 137,569.19 and 54,978.57

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Solution

The fourth proportional to 99,690.57, 137,569.19 and 54,978.57 is: 75,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,690.57 : 137,569.19 = 54,978.57 : x
  2. Step 2: Convert to fraction form
    99,690.57/137,569.19 = 54,978.57/x
  3. Step 3: Cross multiply
    99,690.57x = 137,569.19 × 54,978.57
  4. Step 4: Simplify right side
    99,690.57x = 7,563,357,067.37
  5. Step 5: Solve for x
    x = 7,563,357,067.37/99,690.57
  6. Step 6: Final answer
    x = 75,868.33

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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.