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Finding the Fourth Proportional to 84,113.58, 126,165.42 and 31,518.66

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Solution

The fourth proportional to 84,113.58, 126,165.42 and 31,518.66 is: 47,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,113.58 : 126,165.42 = 31,518.66 : x
  2. Step 2: Convert to fraction form
    84,113.58/126,165.42 = 31,518.66/x
  3. Step 3: Cross multiply
    84,113.58x = 126,165.42 × 31,518.66
  4. Step 4: Simplify right side
    84,113.58x = 3,976,564,976.74
  5. Step 5: Solve for x
    x = 3,976,564,976.74/84,113.58
  6. Step 6: Final answer
    x = 47,276.14

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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.