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Finding the Fourth Proportional to 71,457.64, 107,151.82 and 21,528.43

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Solution

The fourth proportional to 71,457.64, 107,151.82 and 21,528.43 is: 32,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,457.64 : 107,151.82 = 21,528.43 : x
  2. Step 2: Convert to fraction form
    71,457.64/107,151.82 = 21,528.43/x
  3. Step 3: Cross multiply
    71,457.64x = 107,151.82 × 21,528.43
  4. Step 4: Simplify right side
    71,457.64x = 2,306,810,134.54
  5. Step 5: Solve for x
    x = 2,306,810,134.54/71,457.64
  6. Step 6: Final answer
    x = 32,282.21

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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.