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Finding the Fourth Proportional to 205,338.55, 308,051.03 and 86,948.95

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Solution

The fourth proportional to 205,338.55, 308,051.03 and 86,948.95 is: 130,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,338.55 : 308,051.03 = 86,948.95 : x
  2. Step 2: Convert to fraction form
    205,338.55/308,051.03 = 86,948.95/x
  3. Step 3: Cross multiply
    205,338.55x = 308,051.03 × 86,948.95
  4. Step 4: Simplify right side
    205,338.55x = 26,784,713,604.92
  5. Step 5: Solve for x
    x = 26,784,713,604.92/205,338.55
  6. Step 6: Final answer
    x = 130,441.72

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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.