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Finding the Fourth Proportional to 75,178.50, 103,717.71 and 49,696.98

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Solution

The fourth proportional to 75,178.50, 103,717.71 and 49,696.98 is: 68,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.50 : 103,717.71 = 49,696.98 : x
  2. Step 2: Convert to fraction form
    75,178.50/103,717.71 = 49,696.98/x
  3. Step 3: Cross multiply
    75,178.50x = 103,717.71 × 49,696.98
  4. Step 4: Simplify right side
    75,178.50x = 5,154,456,959.52
  5. Step 5: Solve for x
    x = 5,154,456,959.52/75,178.50
  6. Step 6: Final answer
    x = 68,562.91

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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.