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Finding the Fourth Proportional to 72,982.54, 100,715.84 and 39,448.54

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Solution

The fourth proportional to 72,982.54, 100,715.84 and 39,448.54 is: 54,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982.54 : 100,715.84 = 39,448.54 : x
  2. Step 2: Convert to fraction form
    72,982.54/100,715.84 = 39,448.54/x
  3. Step 3: Cross multiply
    72,982.54x = 100,715.84 × 39,448.54
  4. Step 4: Simplify right side
    72,982.54x = 3,973,092,437.92
  5. Step 5: Solve for x
    x = 3,973,092,437.92/72,982.54
  6. Step 6: Final answer
    x = 54,438.95

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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.