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Finding the Fourth Proportional to 84,291, 126,454.98 and 31,700.49

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Solution

The fourth proportional to 84,291, 126,454.98 and 31,700.49 is: 47,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,291 : 126,454.98 = 31,700.49 : x
  2. Step 2: Convert to fraction form
    84,291/126,454.98 = 31,700.49/x
  3. Step 3: Cross multiply
    84,291x = 126,454.98 × 31,700.49
  4. Step 4: Simplify right side
    84,291x = 4,008,684,828.94
  5. Step 5: Solve for x
    x = 4,008,684,828.94/84,291
  6. Step 6: Final answer
    x = 47,557.69

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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.