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Finding the Fourth Proportional to 205,364.40, 307,816.20 and 87,015.60

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Solution

The fourth proportional to 205,364.40, 307,816.20 and 87,015.60 is: 130,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.40 : 307,816.20 = 87,015.60 : x
  2. Step 2: Convert to fraction form
    205,364.40/307,816.20 = 87,015.60/x
  3. Step 3: Cross multiply
    205,364.40x = 307,816.20 × 87,015.60
  4. Step 4: Simplify right side
    205,364.40x = 26,784,811,332.72
  5. Step 5: Solve for x
    x = 26,784,811,332.72/205,364.40
  6. Step 6: Final answer
    x = 130,425.78

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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.