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Finding the Fourth Proportional to 137,581.41, 189,864.41 and 80,219.16

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Solution

The fourth proportional to 137,581.41, 189,864.41 and 80,219.16 is: 110,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,581.41 : 189,864.41 = 80,219.16 : x
  2. Step 2: Convert to fraction form
    137,581.41/189,864.41 = 80,219.16/x
  3. Step 3: Cross multiply
    137,581.41x = 189,864.41 × 80,219.16
  4. Step 4: Simplify right side
    137,581.41x = 15,230,763,484.10
  5. Step 5: Solve for x
    x = 15,230,763,484.10/137,581.41
  6. Step 6: Final answer
    x = 110,703.64

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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.