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Finding the Fourth Proportional to 71,614.45, 107,427.14 and 21,698.68

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Solution

The fourth proportional to 71,614.45, 107,427.14 and 21,698.68 is: 32,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,614.45 : 107,427.14 = 21,698.68 : x
  2. Step 2: Convert to fraction form
    71,614.45/107,427.14 = 21,698.68/x
  3. Step 3: Cross multiply
    71,614.45x = 107,427.14 × 21,698.68
  4. Step 4: Simplify right side
    71,614.45x = 2,331,027,134.18
  5. Step 5: Solve for x
    x = 2,331,027,134.18/71,614.45
  6. Step 6: Final answer
    x = 32,549.68

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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.