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Finding the Fourth Proportional to 72,642.71, 108,965.16 and 27,666.55

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Solution

The fourth proportional to 72,642.71, 108,965.16 and 27,666.55 is: 41,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,642.71 : 108,965.16 = 27,666.55 : x
  2. Step 2: Convert to fraction form
    72,642.71/108,965.16 = 27,666.55/x
  3. Step 3: Cross multiply
    72,642.71x = 108,965.16 × 27,666.55
  4. Step 4: Simplify right side
    72,642.71x = 3,014,690,047.40
  5. Step 5: Solve for x
    x = 3,014,690,047.40/72,642.71
  6. Step 6: Final answer
    x = 41,500.24

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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.