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Finding the Fourth Proportional to 72,980.24, 100,712.80 and 39,446.24

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Solution

The fourth proportional to 72,980.24, 100,712.80 and 39,446.24 is: 54,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,980.24 : 100,712.80 = 39,446.24 : x
  2. Step 2: Convert to fraction form
    72,980.24/100,712.80 = 39,446.24/x
  3. Step 3: Cross multiply
    72,980.24x = 100,712.80 × 39,446.24
  4. Step 4: Simplify right side
    72,980.24x = 3,972,741,279.87
  5. Step 5: Solve for x
    x = 3,972,741,279.87/72,980.24
  6. Step 6: Final answer
    x = 54,435.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.