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Finding the Fourth Proportional to 102,758.76, 154,147.68 and 40,414.68

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Solution

The fourth proportional to 102,758.76, 154,147.68 and 40,414.68 is: 60,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,758.76 : 154,147.68 = 40,414.68 : x
  2. Step 2: Convert to fraction form
    102,758.76/154,147.68 = 40,414.68/x
  3. Step 3: Cross multiply
    102,758.76x = 154,147.68 × 40,414.68
  4. Step 4: Simplify right side
    102,758.76x = 6,229,829,159.94
  5. Step 5: Solve for x
    x = 6,229,829,159.94/102,758.76
  6. Step 6: Final answer
    x = 60,625.77

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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.