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Finding the Fourth Proportional to 70,543.76, 105,843.19 and 31,073.21

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Solution

The fourth proportional to 70,543.76, 105,843.19 and 31,073.21 is: 46,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,543.76 : 105,843.19 = 31,073.21 : x
  2. Step 2: Convert to fraction form
    70,543.76/105,843.19 = 31,073.21/x
  3. Step 3: Cross multiply
    70,543.76x = 105,843.19 × 31,073.21
  4. Step 4: Simplify right side
    70,543.76x = 3,288,887,669.94
  5. Step 5: Solve for x
    x = 3,288,887,669.94/70,543.76
  6. Step 6: Final answer
    x = 46,621.95

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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.