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Finding the Fourth Proportional to 205,613.80, 308,420.70 and 105,773.80

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Solution

The fourth proportional to 205,613.80, 308,420.70 and 105,773.80 is: 158,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,613.80 : 308,420.70 = 105,773.80 : x
  2. Step 2: Convert to fraction form
    205,613.80/308,420.70 = 105,773.80/x
  3. Step 3: Cross multiply
    205,613.80x = 308,420.70 × 105,773.80
  4. Step 4: Simplify right side
    205,613.80x = 32,622,829,437.66
  5. Step 5: Solve for x
    x = 32,622,829,437.66/205,613.80
  6. Step 6: Final answer
    x = 158,660.70

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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.