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Finding the Fourth Proportional to 80,805.16, 121,199.12 and 21,646.82

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Solution

The fourth proportional to 80,805.16, 121,199.12 and 21,646.82 is: 32,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,805.16 : 121,199.12 = 21,646.82 : x
  2. Step 2: Convert to fraction form
    80,805.16/121,199.12 = 21,646.82/x
  3. Step 3: Cross multiply
    80,805.16x = 121,199.12 × 21,646.82
  4. Step 4: Simplify right side
    80,805.16x = 2,623,575,534.80
  5. Step 5: Solve for x
    x = 2,623,575,534.80/80,805.16
  6. Step 6: Final answer
    x = 32,467.92

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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.