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Finding the Fourth Proportional to 137,565.70, 189,919.32 and 105,240.76

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Solution

The fourth proportional to 137,565.70, 189,919.32 and 105,240.76 is: 145,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,565.70 : 189,919.32 = 105,240.76 : x
  2. Step 2: Convert to fraction form
    137,565.70/189,919.32 = 105,240.76/x
  3. Step 3: Cross multiply
    137,565.70x = 189,919.32 × 105,240.76
  4. Step 4: Simplify right side
    137,565.70x = 19,987,253,575.48
  5. Step 5: Solve for x
    x = 19,987,253,575.48/137,565.70
  6. Step 6: Final answer
    x = 145,292.42

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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.