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Finding the Fourth Proportional to 77,474.67, 116,274.29 and 40,045.71

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Solution

The fourth proportional to 77,474.67, 116,274.29 and 40,045.71 is: 60,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,474.67 : 116,274.29 = 40,045.71 : x
  2. Step 2: Convert to fraction form
    77,474.67/116,274.29 = 40,045.71/x
  3. Step 3: Cross multiply
    77,474.67x = 116,274.29 × 40,045.71
  4. Step 4: Simplify right side
    77,474.67x = 4,656,286,079.55
  5. Step 5: Solve for x
    x = 4,656,286,079.55/77,474.67
  6. Step 6: Final answer
    x = 60,100.75

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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.