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Finding the Fourth Proportional to 255,241.80, 382,886.80 and 75,327.91

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Solution

The fourth proportional to 255,241.80, 382,886.80 and 75,327.91 is: 112,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,241.80 : 382,886.80 = 75,327.91 : x
  2. Step 2: Convert to fraction form
    255,241.80/382,886.80 = 75,327.91/x
  3. Step 3: Cross multiply
    255,241.80x = 382,886.80 × 75,327.91
  4. Step 4: Simplify right side
    255,241.80x = 28,842,061,265.05
  5. Step 5: Solve for x
    x = 28,842,061,265.05/255,241.80
  6. Step 6: Final answer
    x = 112,998.97

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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.