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Finding the Fourth Proportional to 158,998.85, 219,413.84 and 87,378.78

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Solution

The fourth proportional to 158,998.85, 219,413.84 and 87,378.78 is: 120,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,998.85 : 219,413.84 = 87,378.78 : x
  2. Step 2: Convert to fraction form
    158,998.85/219,413.84 = 87,378.78/x
  3. Step 3: Cross multiply
    158,998.85x = 219,413.84 × 87,378.78
  4. Step 4: Simplify right side
    158,998.85x = 19,172,113,217.42
  5. Step 5: Solve for x
    x = 19,172,113,217.42/158,998.85
  6. Step 6: Final answer
    x = 120,580.20

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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.