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Finding the Fourth Proportional to 202,865.72, 304,326.26 and 84,509.38

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Solution

The fourth proportional to 202,865.72, 304,326.26 and 84,509.38 is: 126,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,865.72 : 304,326.26 = 84,509.38 : x
  2. Step 2: Convert to fraction form
    202,865.72/304,326.26 = 84,509.38/x
  3. Step 3: Cross multiply
    202,865.72x = 304,326.26 × 84,509.38
  4. Step 4: Simplify right side
    202,865.72x = 25,718,423,550.32
  5. Step 5: Solve for x
    x = 25,718,423,550.32/202,865.72
  6. Step 6: Final answer
    x = 126,775.60

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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.