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Finding the Fourth Proportional to 137,544.62, 189,894.39 and 89,877.74

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Solution

The fourth proportional to 137,544.62, 189,894.39 and 89,877.74 is: 124,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,544.62 : 189,894.39 = 89,877.74 : x
  2. Step 2: Convert to fraction form
    137,544.62/189,894.39 = 89,877.74/x
  3. Step 3: Cross multiply
    137,544.62x = 189,894.39 × 89,877.74
  4. Step 4: Simplify right side
    137,544.62x = 17,067,278,611.88
  5. Step 5: Solve for x
    x = 17,067,278,611.88/137,544.62
  6. Step 6: Final answer
    x = 124,085.40

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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.