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Finding the Fourth Proportional to 218,701.92, 301,805.28 and 123,217.68

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Solution

The fourth proportional to 218,701.92, 301,805.28 and 123,217.68 is: 170,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,701.92 : 301,805.28 = 123,217.68 : x
  2. Step 2: Convert to fraction form
    218,701.92/301,805.28 = 123,217.68/x
  3. Step 3: Cross multiply
    218,701.92x = 301,805.28 × 123,217.68
  4. Step 4: Simplify right side
    218,701.92x = 37,187,746,413.35
  5. Step 5: Solve for x
    x = 37,187,746,413.35/218,701.92
  6. Step 6: Final answer
    x = 170,038.50

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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.