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Finding the Fourth Proportional to 231,866.65, 320,002.53 and 129,919.64

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Solution

The fourth proportional to 231,866.65, 320,002.53 and 129,919.64 is: 179,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,866.65 : 320,002.53 = 129,919.64 : x
  2. Step 2: Convert to fraction form
    231,866.65/320,002.53 = 129,919.64/x
  3. Step 3: Cross multiply
    231,866.65x = 320,002.53 × 129,919.64
  4. Step 4: Simplify right side
    231,866.65x = 41,574,613,496.69
  5. Step 5: Solve for x
    x = 41,574,613,496.69/231,866.65
  6. Step 6: Final answer
    x = 179,303.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.