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Finding the Fourth Proportional to 72,151.95, 99,567.97 and 40,327

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Solution

The fourth proportional to 72,151.95, 99,567.97 and 40,327 is: 55,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,151.95 : 99,567.97 = 40,327 : x
  2. Step 2: Convert to fraction form
    72,151.95/99,567.97 = 40,327/x
  3. Step 3: Cross multiply
    72,151.95x = 99,567.97 × 40,327
  4. Step 4: Simplify right side
    72,151.95x = 4,015,277,526.19
  5. Step 5: Solve for x
    x = 4,015,277,526.19/72,151.95
  6. Step 6: Final answer
    x = 55,650.30

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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.