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Finding the Fourth Proportional to 84,259.68, 126,389.16 and 21,930

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Solution

The fourth proportional to 84,259.68, 126,389.16 and 21,930 is: 32,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,259.68 : 126,389.16 = 21,930 : x
  2. Step 2: Convert to fraction form
    84,259.68/126,389.16 = 21,930/x
  3. Step 3: Cross multiply
    84,259.68x = 126,389.16 × 21,930
  4. Step 4: Simplify right side
    84,259.68x = 2,771,714,278.80
  5. Step 5: Solve for x
    x = 2,771,714,278.80/84,259.68
  6. Step 6: Final answer
    x = 32,894.91

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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.