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Finding the Fourth Proportional to 185,451.62, 255,921 and 100,567.68

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Solution

The fourth proportional to 185,451.62, 255,921 and 100,567.68 is: 138,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,451.62 : 255,921 = 100,567.68 : x
  2. Step 2: Convert to fraction form
    185,451.62/255,921 = 100,567.68/x
  3. Step 3: Cross multiply
    185,451.62x = 255,921 × 100,567.68
  4. Step 4: Simplify right side
    185,451.62x = 25,737,381,233.28
  5. Step 5: Solve for x
    x = 25,737,381,233.28/185,451.62
  6. Step 6: Final answer
    x = 138,782.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.