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Finding the Fourth Proportional to 216,275.72, 324,459.14 and 81,340.65

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Solution

The fourth proportional to 216,275.72, 324,459.14 and 81,340.65 is: 122,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,275.72 : 324,459.14 = 81,340.65 : x
  2. Step 2: Convert to fraction form
    216,275.72/324,459.14 = 81,340.65/x
  3. Step 3: Cross multiply
    216,275.72x = 324,459.14 × 81,340.65
  4. Step 4: Simplify right side
    216,275.72x = 26,391,716,939.34
  5. Step 5: Solve for x
    x = 26,391,716,939.34/216,275.72
  6. Step 6: Final answer
    x = 122,028.11

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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.