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Finding the Fourth Proportional to 72,302.87, 99,777.94 and 40,471.78

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Solution

The fourth proportional to 72,302.87, 99,777.94 and 40,471.78 is: 55,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,302.87 : 99,777.94 = 40,471.78 : x
  2. Step 2: Convert to fraction form
    72,302.87/99,777.94 = 40,471.78/x
  3. Step 3: Cross multiply
    72,302.87x = 99,777.94 × 40,471.78
  4. Step 4: Simplify right side
    72,302.87x = 4,038,190,836.53
  5. Step 5: Solve for x
    x = 4,038,190,836.53/72,302.87
  6. Step 6: Final answer
    x = 55,851.04

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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.