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Finding the Fourth Proportional to 107,892, 161,870.04 and 55,338.48

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Solution

The fourth proportional to 107,892, 161,870.04 and 55,338.48 is: 83,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,892 : 161,870.04 = 55,338.48 : x
  2. Step 2: Convert to fraction form
    107,892/161,870.04 = 55,338.48/x
  3. Step 3: Cross multiply
    107,892x = 161,870.04 × 55,338.48
  4. Step 4: Simplify right side
    107,892x = 8,957,641,971.14
  5. Step 5: Solve for x
    x = 8,957,641,971.14/107,892
  6. Step 6: Final answer
    x = 83,024.15

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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.