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Finding the Fourth Proportional to 77,400, 116,002.83 and 41,859.90

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Solution

The fourth proportional to 77,400, 116,002.83 and 41,859.90 is: 62,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400 : 116,002.83 = 41,859.90 : x
  2. Step 2: Convert to fraction form
    77,400/116,002.83 = 41,859.90/x
  3. Step 3: Cross multiply
    77,400x = 116,002.83 × 41,859.90
  4. Step 4: Simplify right side
    77,400x = 4,855,866,863.52
  5. Step 5: Solve for x
    x = 4,855,866,863.52/77,400
  6. Step 6: Final answer
    x = 62,737.30

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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.