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Finding the Fourth Proportional to 205,514.90, 308,272.35 and 65,287.70

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Solution

The fourth proportional to 205,514.90, 308,272.35 and 65,287.70 is: 97,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514.90 : 308,272.35 = 65,287.70 : x
  2. Step 2: Convert to fraction form
    205,514.90/308,272.35 = 65,287.70/x
  3. Step 3: Cross multiply
    205,514.90x = 308,272.35 × 65,287.70
  4. Step 4: Simplify right side
    205,514.90x = 20,126,392,705.10
  5. Step 5: Solve for x
    x = 20,126,392,705.10/205,514.90
  6. Step 6: Final answer
    x = 97,931.55

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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.