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Finding the Fourth Proportional to 84,315.84, 126,377.76 and 28,142.76

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Solution

The fourth proportional to 84,315.84, 126,377.76 and 28,142.76 is: 42,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,315.84 : 126,377.76 = 28,142.76 : x
  2. Step 2: Convert to fraction form
    84,315.84/126,377.76 = 28,142.76/x
  3. Step 3: Cross multiply
    84,315.84x = 126,377.76 × 28,142.76
  4. Step 4: Simplify right side
    84,315.84x = 3,556,618,969.02
  5. Step 5: Solve for x
    x = 3,556,618,969.02/84,315.84
  6. Step 6: Final answer
    x = 42,182.10

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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.