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Finding the Fourth Proportional to 70,542.92, 105,841.92 and 31,072.28

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Solution

The fourth proportional to 70,542.92, 105,841.92 and 31,072.28 is: 46,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542.92 : 105,841.92 = 31,072.28 : x
  2. Step 2: Convert to fraction form
    70,542.92/105,841.92 = 31,072.28/x
  3. Step 3: Cross multiply
    70,542.92x = 105,841.92 × 31,072.28
  4. Step 4: Simplify right side
    70,542.92x = 3,288,749,773.98
  5. Step 5: Solve for x
    x = 3,288,749,773.98/70,542.92
  6. Step 6: Final answer
    x = 46,620.55

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1.5x scale

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.