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Finding the Fourth Proportional to 72,277.64, 99,743.16 and 40,452.68

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Solution

The fourth proportional to 72,277.64, 99,743.16 and 40,452.68 is: 55,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,277.64 : 99,743.16 = 40,452.68 : x
  2. Step 2: Convert to fraction form
    72,277.64/99,743.16 = 40,452.68/x
  3. Step 3: Cross multiply
    72,277.64x = 99,743.16 × 40,452.68
  4. Step 4: Simplify right side
    72,277.64x = 4,034,878,133.67
  5. Step 5: Solve for x
    x = 4,034,878,133.67/72,277.64
  6. Step 6: Final answer
    x = 55,824.71

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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.