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Finding the Fourth Proportional to 205,707.60, 308,500.92 and 87,378

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Solution

The fourth proportional to 205,707.60, 308,500.92 and 87,378 is: 131,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.60 : 308,500.92 = 87,378 : x
  2. Step 2: Convert to fraction form
    205,707.60/308,500.92 = 87,378/x
  3. Step 3: Cross multiply
    205,707.60x = 308,500.92 × 87,378
  4. Step 4: Simplify right side
    205,707.60x = 26,956,193,387.76
  5. Step 5: Solve for x
    x = 26,956,193,387.76/205,707.60
  6. Step 6: Final answer
    x = 131,041.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.