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Finding the Fourth Proportional to 158,181.50, 218,283.46 and 86,564.54

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Solution

The fourth proportional to 158,181.50, 218,283.46 and 86,564.54 is: 119,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,181.50 : 218,283.46 = 86,564.54 : x
  2. Step 2: Convert to fraction form
    158,181.50/218,283.46 = 86,564.54/x
  3. Step 3: Cross multiply
    158,181.50x = 218,283.46 × 86,564.54
  4. Step 4: Simplify right side
    158,181.50x = 18,895,605,780.27
  5. Step 5: Solve for x
    x = 18,895,605,780.27/158,181.50
  6. Step 6: Final answer
    x = 119,455.22

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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.