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Finding the Fourth Proportional to 83,141.71, 124,724.86 and 30,547.09

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Solution

The fourth proportional to 83,141.71, 124,724.86 and 30,547.09 is: 45,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,141.71 : 124,724.86 = 30,547.09 : x
  2. Step 2: Convert to fraction form
    83,141.71/124,724.86 = 30,547.09/x
  3. Step 3: Cross multiply
    83,141.71x = 124,724.86 × 30,547.09
  4. Step 4: Simplify right side
    83,141.71x = 3,809,981,523.66
  5. Step 5: Solve for x
    x = 3,809,981,523.66/83,141.71
  6. Step 6: Final answer
    x = 45,825.16

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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.