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Finding the Fourth Proportional to 151,878.86, 209,604.32 and 87,367.85

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Solution

The fourth proportional to 151,878.86, 209,604.32 and 87,367.85 is: 120,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,878.86 : 209,604.32 = 87,367.85 : x
  2. Step 2: Convert to fraction form
    151,878.86/209,604.32 = 87,367.85/x
  3. Step 3: Cross multiply
    151,878.86x = 209,604.32 × 87,367.85
  4. Step 4: Simplify right side
    151,878.86x = 18,312,678,789.11
  5. Step 5: Solve for x
    x = 18,312,678,789.11/151,878.86
  6. Step 6: Final answer
    x = 120,574.24

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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.