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Finding the Fourth Proportional to 151,306.51, 208,786.90 and 83,319.44

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Solution

The fourth proportional to 151,306.51, 208,786.90 and 83,319.44 is: 114,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,306.51 : 208,786.90 = 83,319.44 : x
  2. Step 2: Convert to fraction form
    151,306.51/208,786.90 = 83,319.44/x
  3. Step 3: Cross multiply
    151,306.51x = 208,786.90 × 83,319.44
  4. Step 4: Simplify right side
    151,306.51x = 17,396,007,587.34
  5. Step 5: Solve for x
    x = 17,396,007,587.34/151,306.51
  6. Step 6: Final answer
    x = 114,971.97

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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.