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Finding the Fourth Proportional to 205,500.75, 308,251.14 and 57,756.75

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Solution

The fourth proportional to 205,500.75, 308,251.14 and 57,756.75 is: 86,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500.75 : 308,251.14 = 57,756.75 : x
  2. Step 2: Convert to fraction form
    205,500.75/308,251.14 = 57,756.75/x
  3. Step 3: Cross multiply
    205,500.75x = 308,251.14 × 57,756.75
  4. Step 4: Simplify right side
    205,500.75x = 17,803,584,030.20
  5. Step 5: Solve for x
    x = 17,803,584,030.20/205,500.75
  6. Step 6: Final answer
    x = 86,635.13

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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.