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Finding the Fourth Proportional to 158,576.49, 218,845.52 and 86,956.51

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Solution

The fourth proportional to 158,576.49, 218,845.52 and 86,956.51 is: 120,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,576.49 : 218,845.52 = 86,956.51 : x
  2. Step 2: Convert to fraction form
    158,576.49/218,845.52 = 86,956.51/x
  3. Step 3: Cross multiply
    158,576.49x = 218,845.52 × 86,956.51
  4. Step 4: Simplify right side
    158,576.49x = 19,030,042,648.34
  5. Step 5: Solve for x
    x = 19,030,042,648.34/158,576.49
  6. Step 6: Final answer
    x = 120,005.45

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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.