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Finding the Fourth Proportional to 102,758.30, 154,133.98 and 36,196.70

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Solution

The fourth proportional to 102,758.30, 154,133.98 and 36,196.70 is: 54,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,758.30 : 154,133.98 = 36,196.70 : x
  2. Step 2: Convert to fraction form
    102,758.30/154,133.98 = 36,196.70/x
  3. Step 3: Cross multiply
    102,758.30x = 154,133.98 × 36,196.70
  4. Step 4: Simplify right side
    102,758.30x = 5,579,140,708.44
  5. Step 5: Solve for x
    x = 5,579,140,708.44/102,758.30
  6. Step 6: Final answer
    x = 54,293.82

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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.