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Finding the Fourth Proportional to 202,587.72, 304,072.26 and 102,819.52

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Solution

The fourth proportional to 202,587.72, 304,072.26 and 102,819.52 is: 154,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,587.72 : 304,072.26 = 102,819.52 : x
  2. Step 2: Convert to fraction form
    202,587.72/304,072.26 = 102,819.52/x
  3. Step 3: Cross multiply
    202,587.72x = 304,072.26 × 102,819.52
  4. Step 4: Simplify right side
    202,587.72x = 31,264,562,680.99
  5. Step 5: Solve for x
    x = 31,264,562,680.99/202,587.72
  6. Step 6: Final answer
    x = 154,326.05

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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.