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Finding the Fourth Proportional to 71,684.19, 107,530.47 and 21,765.92

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Solution

The fourth proportional to 71,684.19, 107,530.47 and 21,765.92 is: 32,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,684.19 : 107,530.47 = 21,765.92 : x
  2. Step 2: Convert to fraction form
    71,684.19/107,530.47 = 21,765.92/x
  3. Step 3: Cross multiply
    71,684.19x = 107,530.47 × 21,765.92
  4. Step 4: Simplify right side
    71,684.19x = 2,340,499,069.93
  5. Step 5: Solve for x
    x = 2,340,499,069.93/71,684.19
  6. Step 6: Final answer
    x = 32,650.14

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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.