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Finding the Fourth Proportional to 70,879.20, 106,318.80 and 31,513.20

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Solution

The fourth proportional to 70,879.20, 106,318.80 and 31,513.20 is: 47,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,879.20 : 106,318.80 = 31,513.20 : x
  2. Step 2: Convert to fraction form
    70,879.20/106,318.80 = 31,513.20/x
  3. Step 3: Cross multiply
    70,879.20x = 106,318.80 × 31,513.20
  4. Step 4: Simplify right side
    70,879.20x = 3,350,445,608.16
  5. Step 5: Solve for x
    x = 3,350,445,608.16/70,879.20
  6. Step 6: Final answer
    x = 47,269.80

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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.