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Finding the Fourth Proportional to 77,080, 115,620.05 and 21,676

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Solution

The fourth proportional to 77,080, 115,620.05 and 21,676 is: 32,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080 : 115,620.05 = 21,676 : x
  2. Step 2: Convert to fraction form
    77,080/115,620.05 = 21,676/x
  3. Step 3: Cross multiply
    77,080x = 115,620.05 × 21,676
  4. Step 4: Simplify right side
    77,080x = 2,506,180,203.80
  5. Step 5: Solve for x
    x = 2,506,180,203.80/77,080
  6. Step 6: Final answer
    x = 32,514.01

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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.