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Finding the Fourth Proportional to 140,696.74, 194,161.08 and 77,033.98

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Solution

The fourth proportional to 140,696.74, 194,161.08 and 77,033.98 is: 106,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,696.74 : 194,161.08 = 77,033.98 : x
  2. Step 2: Convert to fraction form
    140,696.74/194,161.08 = 77,033.98/x
  3. Step 3: Cross multiply
    140,696.74x = 194,161.08 × 77,033.98
  4. Step 4: Simplify right side
    140,696.74x = 14,957,000,753.50
  5. Step 5: Solve for x
    x = 14,957,000,753.50/140,696.74
  6. Step 6: Final answer
    x = 106,306.66

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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.