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Finding the Fourth Proportional to 205,105.20, 307,657.80 and 167,780.40

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Solution

The fourth proportional to 205,105.20, 307,657.80 and 167,780.40 is: 251,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,105.20 : 307,657.80 = 167,780.40 : x
  2. Step 2: Convert to fraction form
    205,105.20/307,657.80 = 167,780.40/x
  3. Step 3: Cross multiply
    205,105.20x = 307,657.80 × 167,780.40
  4. Step 4: Simplify right side
    205,105.20x = 51,618,948,747.12
  5. Step 5: Solve for x
    x = 51,618,948,747.12/205,105.20
  6. Step 6: Final answer
    x = 251,670.60

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1.5x scale

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.