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Finding the Fourth Proportional to 151,471.86, 209,018.87 and 87,813.76

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Solution

The fourth proportional to 151,471.86, 209,018.87 and 87,813.76 is: 121,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,471.86 : 209,018.87 = 87,813.76 : x
  2. Step 2: Convert to fraction form
    151,471.86/209,018.87 = 87,813.76/x
  3. Step 3: Cross multiply
    151,471.86x = 209,018.87 × 87,813.76
  4. Step 4: Simplify right side
    151,471.86x = 18,354,732,551.33
  5. Step 5: Solve for x
    x = 18,354,732,551.33/151,471.86
  6. Step 6: Final answer
    x = 121,175.86

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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.