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Finding the Fourth Proportional to 255,643.38, 383,205.30 and 105,965.10

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Solution

The fourth proportional to 255,643.38, 383,205.30 and 105,965.10 is: 158,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,643.38 : 383,205.30 = 105,965.10 : x
  2. Step 2: Convert to fraction form
    255,643.38/383,205.30 = 105,965.10/x
  3. Step 3: Cross multiply
    255,643.38x = 383,205.30 × 105,965.10
  4. Step 4: Simplify right side
    255,643.38x = 40,606,387,935.03
  5. Step 5: Solve for x
    x = 40,606,387,935.03/255,643.38
  6. Step 6: Final answer
    x = 158,839.97

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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.