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Finding the Fourth Proportional to 213,085.52, 319,545.18 and 79,893.20

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Solution

The fourth proportional to 213,085.52, 319,545.18 and 79,893.20 is: 119,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,085.52 : 319,545.18 = 79,893.20 : x
  2. Step 2: Convert to fraction form
    213,085.52/319,545.18 = 79,893.20/x
  3. Step 3: Cross multiply
    213,085.52x = 319,545.18 × 79,893.20
  4. Step 4: Simplify right side
    213,085.52x = 25,529,486,974.78
  5. Step 5: Solve for x
    x = 25,529,486,974.78/213,085.52
  6. Step 6: Final answer
    x = 119,808.64

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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.