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Finding the Fourth Proportional to 102,149.40, 152,939.70 and 52,121.40

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Solution

The fourth proportional to 102,149.40, 152,939.70 and 52,121.40 is: 78,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.40 : 152,939.70 = 52,121.40 : x
  2. Step 2: Convert to fraction form
    102,149.40/152,939.70 = 52,121.40/x
  3. Step 3: Cross multiply
    102,149.40x = 152,939.70 × 52,121.40
  4. Step 4: Simplify right side
    102,149.40x = 7,971,431,279.58
  5. Step 5: Solve for x
    x = 7,971,431,279.58/102,149.40
  6. Step 6: Final answer
    x = 78,036.99

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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.