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Finding the Fourth Proportional to 83,272.50, 124,899.57 and 20,943

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Solution

The fourth proportional to 83,272.50, 124,899.57 and 20,943 is: 31,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272.50 : 124,899.57 = 20,943 : x
  2. Step 2: Convert to fraction form
    83,272.50/124,899.57 = 20,943/x
  3. Step 3: Cross multiply
    83,272.50x = 124,899.57 × 20,943
  4. Step 4: Simplify right side
    83,272.50x = 2,615,771,694.51
  5. Step 5: Solve for x
    x = 2,615,771,694.51/83,272.50
  6. Step 6: Final answer
    x = 31,412.19

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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.