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Finding the Fourth Proportional to 205,789.80, 308,707.38 and 65,515.80

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Solution

The fourth proportional to 205,789.80, 308,707.38 and 65,515.80 is: 98,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,789.80 : 308,707.38 = 65,515.80 : x
  2. Step 2: Convert to fraction form
    205,789.80/308,707.38 = 65,515.80/x
  3. Step 3: Cross multiply
    205,789.80x = 308,707.38 × 65,515.80
  4. Step 4: Simplify right side
    205,789.80x = 20,225,210,966.60
  5. Step 5: Solve for x
    x = 20,225,210,966.60/205,789.80
  6. Step 6: Final answer
    x = 98,280.92

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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.