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Finding the Fourth Proportional to 218,920.81, 328,279.15 and 113,711.53

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Solution

The fourth proportional to 218,920.81, 328,279.15 and 113,711.53 is: 170,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920.81 : 328,279.15 = 113,711.53 : x
  2. Step 2: Convert to fraction form
    218,920.81/328,279.15 = 113,711.53/x
  3. Step 3: Cross multiply
    218,920.81x = 328,279.15 × 113,711.53
  4. Step 4: Simplify right side
    218,920.81x = 37,329,124,413.60
  5. Step 5: Solve for x
    x = 37,329,124,413.60/218,920.81
  6. Step 6: Final answer
    x = 170,514.28

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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.