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Finding the Fourth Proportional to 84,821.80, 127,038.30 and 82,877.80

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Solution

The fourth proportional to 84,821.80, 127,038.30 and 82,877.80 is: 124,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821.80 : 127,038.30 = 82,877.80 : x
  2. Step 2: Convert to fraction form
    84,821.80/127,038.30 = 82,877.80/x
  3. Step 3: Cross multiply
    84,821.80x = 127,038.30 × 82,877.80
  4. Step 4: Simplify right side
    84,821.80x = 10,528,654,819.74
  5. Step 5: Solve for x
    x = 10,528,654,819.74/84,821.80
  6. Step 6: Final answer
    x = 124,126.76

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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.