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Finding the Fourth Proportional to 185,361.81, 278,064.33 and 67,088.85

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Solution

The fourth proportional to 185,361.81, 278,064.33 and 67,088.85 is: 100,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,361.81 : 278,064.33 = 67,088.85 : x
  2. Step 2: Convert to fraction form
    185,361.81/278,064.33 = 67,088.85/x
  3. Step 3: Cross multiply
    185,361.81x = 278,064.33 × 67,088.85
  4. Step 4: Simplify right side
    185,361.81x = 18,655,016,125.72
  5. Step 5: Solve for x
    x = 18,655,016,125.72/185,361.81
  6. Step 6: Final answer
    x = 100,641.10

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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.