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Finding the Fourth Proportional to 189,466.56, 261,472.32 and 108,920.16

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Solution

The fourth proportional to 189,466.56, 261,472.32 and 108,920.16 is: 150,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.56 : 261,472.32 = 108,920.16 : x
  2. Step 2: Convert to fraction form
    189,466.56/261,472.32 = 108,920.16/x
  3. Step 3: Cross multiply
    189,466.56x = 261,472.32 × 108,920.16
  4. Step 4: Simplify right side
    189,466.56x = 28,479,606,929.97
  5. Step 5: Solve for x
    x = 28,479,606,929.97/189,466.56
  6. Step 6: Final answer
    x = 150,314.69

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1.5x scale

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.