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Finding the Fourth Proportional to 111,941.92, 154,217.03 and 77,891.93

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Solution

The fourth proportional to 111,941.92, 154,217.03 and 77,891.93 is: 107,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,941.92 : 154,217.03 = 77,891.93 : x
  2. Step 2: Convert to fraction form
    111,941.92/154,217.03 = 77,891.93/x
  3. Step 3: Cross multiply
    111,941.92x = 154,217.03 × 77,891.93
  4. Step 4: Simplify right side
    111,941.92x = 12,012,261,961.48
  5. Step 5: Solve for x
    x = 12,012,261,961.48/111,941.92
  6. Step 6: Final answer
    x = 107,307.99

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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.