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Finding the Fourth Proportional to 151,876.86, 209,601.56 and 87,365.85

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Solution

The fourth proportional to 151,876.86, 209,601.56 and 87,365.85 is: 120,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,876.86 : 209,601.56 = 87,365.85 : x
  2. Step 2: Convert to fraction form
    151,876.86/209,601.56 = 87,365.85/x
  3. Step 3: Cross multiply
    151,876.86x = 209,601.56 × 87,365.85
  4. Step 4: Simplify right side
    151,876.86x = 18,312,018,013.90
  5. Step 5: Solve for x
    x = 18,312,018,013.90/151,876.86
  6. Step 6: Final answer
    x = 120,571.48

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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.