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Finding the Fourth Proportional to 72,781.50, 100,448.19 and 47,645.58

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Solution

The fourth proportional to 72,781.50, 100,448.19 and 47,645.58 is: 65,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,781.50 : 100,448.19 = 47,645.58 : x
  2. Step 2: Convert to fraction form
    72,781.50/100,448.19 = 47,645.58/x
  3. Step 3: Cross multiply
    72,781.50x = 100,448.19 × 47,645.58
  4. Step 4: Simplify right side
    72,781.50x = 4,785,912,272.50
  5. Step 5: Solve for x
    x = 4,785,912,272.50/72,781.50
  6. Step 6: Final answer
    x = 65,757.26

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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.