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Finding the Fourth Proportional to 255,107.28, 382,487.52 and 142,864.56

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Solution

The fourth proportional to 255,107.28, 382,487.52 and 142,864.56 is: 214,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,107.28 : 382,487.52 = 142,864.56 : x
  2. Step 2: Convert to fraction form
    255,107.28/382,487.52 = 142,864.56/x
  3. Step 3: Cross multiply
    255,107.28x = 382,487.52 × 142,864.56
  4. Step 4: Simplify right side
    255,107.28x = 54,643,911,250.29
  5. Step 5: Solve for x
    x = 54,643,911,250.29/255,107.28
  6. Step 6: Final answer
    x = 214,199.73

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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.