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Finding the Fourth Proportional to 159,034.26, 219,461.70 and 87,413.82

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Solution

The fourth proportional to 159,034.26, 219,461.70 and 87,413.82 is: 120,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,034.26 : 219,461.70 = 87,413.82 : x
  2. Step 2: Convert to fraction form
    159,034.26/219,461.70 = 87,413.82/x
  3. Step 3: Cross multiply
    159,034.26x = 219,461.70 × 87,413.82
  4. Step 4: Simplify right side
    159,034.26x = 19,183,985,540.69
  5. Step 5: Solve for x
    x = 19,183,985,540.69/159,034.26
  6. Step 6: Final answer
    x = 120,628.01

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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.