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Finding the Fourth Proportional to 213,255.99, 319,629.51 and 99,250.38

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Solution

The fourth proportional to 213,255.99, 319,629.51 and 99,250.38 is: 148,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,255.99 : 319,629.51 = 99,250.38 : x
  2. Step 2: Convert to fraction form
    213,255.99/319,629.51 = 99,250.38/x
  3. Step 3: Cross multiply
    213,255.99x = 319,629.51 × 99,250.38
  4. Step 4: Simplify right side
    213,255.99x = 31,723,350,326.71
  5. Step 5: Solve for x
    x = 31,723,350,326.71/213,255.99
  6. Step 6: Final answer
    x = 148,757.14

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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.