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Finding the Fourth Proportional to 84,307.80, 126,470.20 and 27,379.32

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Solution

The fourth proportional to 84,307.80, 126,470.20 and 27,379.32 is: 41,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,307.80 : 126,470.20 = 27,379.32 : x
  2. Step 2: Convert to fraction form
    84,307.80/126,470.20 = 27,379.32/x
  3. Step 3: Cross multiply
    84,307.80x = 126,470.20 × 27,379.32
  4. Step 4: Simplify right side
    84,307.80x = 3,462,668,076.26
  5. Step 5: Solve for x
    x = 3,462,668,076.26/84,307.80
  6. Step 6: Final answer
    x = 41,071.74

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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.