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Finding the Fourth Proportional to 204,649.12, 307,015.32 and 86,320.88

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Solution

The fourth proportional to 204,649.12, 307,015.32 and 86,320.88 is: 129,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649.12 : 307,015.32 = 86,320.88 : x
  2. Step 2: Convert to fraction form
    204,649.12/307,015.32 = 86,320.88/x
  3. Step 3: Cross multiply
    204,649.12x = 307,015.32 × 86,320.88
  4. Step 4: Simplify right side
    204,649.12x = 26,501,832,595.88
  5. Step 5: Solve for x
    x = 26,501,832,595.88/204,649.12
  6. Step 6: Final answer
    x = 129,498.88

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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.