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Finding the Fourth Proportional to 147,357, 203,352.66 and 80,289

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Solution

The fourth proportional to 147,357, 203,352.66 and 80,289 is: 110,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,357 : 203,352.66 = 80,289 : x
  2. Step 2: Convert to fraction form
    147,357/203,352.66 = 80,289/x
  3. Step 3: Cross multiply
    147,357x = 203,352.66 × 80,289
  4. Step 4: Simplify right side
    147,357x = 16,326,981,718.74
  5. Step 5: Solve for x
    x = 16,326,981,718.74/147,357
  6. Step 6: Final answer
    x = 110,798.82

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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.