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Finding the Fourth Proportional to 84,701.70, 127,052.55 and 81,421.20

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Solution

The fourth proportional to 84,701.70, 127,052.55 and 81,421.20 is: 122,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,701.70 : 127,052.55 = 81,421.20 : x
  2. Step 2: Convert to fraction form
    84,701.70/127,052.55 = 81,421.20/x
  3. Step 3: Cross multiply
    84,701.70x = 127,052.55 × 81,421.20
  4. Step 4: Simplify right side
    84,701.70x = 10,344,771,084.06
  5. Step 5: Solve for x
    x = 10,344,771,084.06/84,701.70
  6. Step 6: Final answer
    x = 122,131.80

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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.