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Finding the Fourth Proportional to 83,421.40, 125,423.70 and 81,671.80

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Solution

The fourth proportional to 83,421.40, 125,423.70 and 81,671.80 is: 122,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421.40 : 125,423.70 = 81,671.80 : x
  2. Step 2: Convert to fraction form
    83,421.40/125,423.70 = 81,671.80/x
  3. Step 3: Cross multiply
    83,421.40x = 125,423.70 × 81,671.80
  4. Step 4: Simplify right side
    83,421.40x = 10,243,579,341.66
  5. Step 5: Solve for x
    x = 10,243,579,341.66/83,421.40
  6. Step 6: Final answer
    x = 122,793.18

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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.