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Finding the Fourth Proportional to 102,149.76, 152,907.84 and 55,286.40

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Solution

The fourth proportional to 102,149.76, 152,907.84 and 55,286.40 is: 82,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.76 : 152,907.84 = 55,286.40 : x
  2. Step 2: Convert to fraction form
    102,149.76/152,907.84 = 55,286.40/x
  3. Step 3: Cross multiply
    102,149.76x = 152,907.84 × 55,286.40
  4. Step 4: Simplify right side
    102,149.76x = 8,453,724,005.38
  5. Step 5: Solve for x
    x = 8,453,724,005.38/102,149.76
  6. Step 6: Final answer
    x = 82,758.14

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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.