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Finding the Fourth Proportional to 208,727.60, 312,834.60 and 96,251.60

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Solution

The fourth proportional to 208,727.60, 312,834.60 and 96,251.60 is: 144,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,727.60 : 312,834.60 = 96,251.60 : x
  2. Step 2: Convert to fraction form
    208,727.60/312,834.60 = 96,251.60/x
  3. Step 3: Cross multiply
    208,727.60x = 312,834.60 × 96,251.60
  4. Step 4: Simplify right side
    208,727.60x = 30,110,830,785.36
  5. Step 5: Solve for x
    x = 30,110,830,785.36/208,727.60
  6. Step 6: Final answer
    x = 144,258.98

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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.