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Finding the Fourth Proportional to 204,649.88, 307,007.63 and 86,338.65

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Solution

The fourth proportional to 204,649.88, 307,007.63 and 86,338.65 is: 129,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649.88 : 307,007.63 = 86,338.65 : x
  2. Step 2: Convert to fraction form
    204,649.88/307,007.63 = 86,338.65/x
  3. Step 3: Cross multiply
    204,649.88x = 307,007.63 × 86,338.65
  4. Step 4: Simplify right side
    204,649.88x = 26,506,624,529.75
  5. Step 5: Solve for x
    x = 26,506,624,529.75/204,649.88
  6. Step 6: Final answer
    x = 129,521.82

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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.