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Finding the Fourth Proportional to 261,175.80, 391,763.70 and 128,141.40

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Solution

The fourth proportional to 261,175.80, 391,763.70 and 128,141.40 is: 192,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,175.80 : 391,763.70 = 128,141.40 : x
  2. Step 2: Convert to fraction form
    261,175.80/391,763.70 = 128,141.40/x
  3. Step 3: Cross multiply
    261,175.80x = 391,763.70 × 128,141.40
  4. Step 4: Simplify right side
    261,175.80x = 50,201,148,987.18
  5. Step 5: Solve for x
    x = 50,201,148,987.18/261,175.80
  6. Step 6: Final answer
    x = 192,212.10

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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.