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Finding the Fourth Proportional to 147,381.80, 203,387.56 and 83,723.09

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Solution

The fourth proportional to 147,381.80, 203,387.56 and 83,723.09 is: 115,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,381.80 : 203,387.56 = 83,723.09 : x
  2. Step 2: Convert to fraction form
    147,381.80/203,387.56 = 83,723.09/x
  3. Step 3: Cross multiply
    147,381.80x = 203,387.56 × 83,723.09
  4. Step 4: Simplify right side
    147,381.80x = 17,028,233,764.51
  5. Step 5: Solve for x
    x = 17,028,233,764.51/147,381.80
  6. Step 6: Final answer
    x = 115,538.24

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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.