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Finding the Fourth Proportional to 84,264.76, 126,354.80 and 28,085.20

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Solution

The fourth proportional to 84,264.76, 126,354.80 and 28,085.20 is: 42,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,264.76 : 126,354.80 = 28,085.20 : x
  2. Step 2: Convert to fraction form
    84,264.76/126,354.80 = 28,085.20/x
  3. Step 3: Cross multiply
    84,264.76x = 126,354.80 × 28,085.20
  4. Step 4: Simplify right side
    84,264.76x = 3,548,699,828.96
  5. Step 5: Solve for x
    x = 3,548,699,828.96/84,264.76
  6. Step 6: Final answer
    x = 42,113.69

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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.