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Finding the Fourth Proportional to 83,643.42, 125,448.43 and 31,040.61

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Solution

The fourth proportional to 83,643.42, 125,448.43 and 31,040.61 is: 46,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.42 : 125,448.43 = 31,040.61 : x
  2. Step 2: Convert to fraction form
    83,643.42/125,448.43 = 31,040.61/x
  3. Step 3: Cross multiply
    83,643.42x = 125,448.43 × 31,040.61
  4. Step 4: Simplify right side
    83,643.42x = 3,893,995,790.74
  5. Step 5: Solve for x
    x = 3,893,995,790.74/83,643.42
  6. Step 6: Final answer
    x = 46,554.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.