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Finding the Fourth Proportional to 73,782, 101,819.16 and 40,248

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Solution

The fourth proportional to 73,782, 101,819.16 and 40,248 is: 55,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782 : 101,819.16 = 40,248 : x
  2. Step 2: Convert to fraction form
    73,782/101,819.16 = 40,248/x
  3. Step 3: Cross multiply
    73,782x = 101,819.16 × 40,248
  4. Step 4: Simplify right side
    73,782x = 4,098,017,551.68
  5. Step 5: Solve for x
    x = 4,098,017,551.68/73,782
  6. Step 6: Final answer
    x = 55,542.24

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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.