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Finding the Fourth Proportional to 147,008.78, 220,235.69 and 86,857.78

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Solution

The fourth proportional to 147,008.78, 220,235.69 and 86,857.78 is: 130,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,008.78 : 220,235.69 = 86,857.78 : x
  2. Step 2: Convert to fraction form
    147,008.78/220,235.69 = 86,857.78/x
  3. Step 3: Cross multiply
    147,008.78x = 220,235.69 × 86,857.78
  4. Step 4: Simplify right side
    147,008.78x = 19,129,183,110.17
  5. Step 5: Solve for x
    x = 19,129,183,110.17/147,008.78
  6. Step 6: Final answer
    x = 130,122.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.