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Finding the Fourth Proportional to 205,409.93, 308,115.02 and 85,464.72

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Solution

The fourth proportional to 205,409.93, 308,115.02 and 85,464.72 is: 128,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,409.93 : 308,115.02 = 85,464.72 : x
  2. Step 2: Convert to fraction form
    205,409.93/308,115.02 = 85,464.72/x
  3. Step 3: Cross multiply
    205,409.93x = 308,115.02 × 85,464.72
  4. Step 4: Simplify right side
    205,409.93x = 26,332,964,125.76
  5. Step 5: Solve for x
    x = 26,332,964,125.76/205,409.93
  6. Step 6: Final answer
    x = 128,197.14

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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.