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Finding the Fourth Proportional to 230,778.38, 346,322.19 and 81,019.11

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Solution

The fourth proportional to 230,778.38, 346,322.19 and 81,019.11 is: 121,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,778.38 : 346,322.19 = 81,019.11 : x
  2. Step 2: Convert to fraction form
    230,778.38/346,322.19 = 81,019.11/x
  3. Step 3: Cross multiply
    230,778.38x = 346,322.19 × 81,019.11
  4. Step 4: Simplify right side
    230,778.38x = 28,058,717,209.58
  5. Step 5: Solve for x
    x = 28,058,717,209.58/230,778.38
  6. Step 6: Final answer
    x = 121,582.96

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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.