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Finding the Fourth Proportional to 84,177.80, 126,266.70 and 21,848.30

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Solution

The fourth proportional to 84,177.80, 126,266.70 and 21,848.30 is: 32,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,177.80 : 126,266.70 = 21,848.30 : x
  2. Step 2: Convert to fraction form
    84,177.80/126,266.70 = 21,848.30/x
  3. Step 3: Cross multiply
    84,177.80x = 126,266.70 × 21,848.30
  4. Step 4: Simplify right side
    84,177.80x = 2,758,712,741.61
  5. Step 5: Solve for x
    x = 2,758,712,741.61/84,177.80
  6. Step 6: Final answer
    x = 32,772.45

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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.