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Finding the Fourth Proportional to 205,773.40, 283,978.34 and 115,123.96

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Solution

The fourth proportional to 205,773.40, 283,978.34 and 115,123.96 is: 158,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,773.40 : 283,978.34 = 115,123.96 : x
  2. Step 2: Convert to fraction form
    205,773.40/283,978.34 = 115,123.96/x
  3. Step 3: Cross multiply
    205,773.40x = 283,978.34 × 115,123.96
  4. Step 4: Simplify right side
    205,773.40x = 32,692,711,055.03
  5. Step 5: Solve for x
    x = 32,692,711,055.03/205,773.40
  6. Step 6: Final answer
    x = 158,877.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.