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Finding the Fourth Proportional to 255,687.81, 352,702.87 and 160,028.43

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Solution

The fourth proportional to 255,687.81, 352,702.87 and 160,028.43 is: 220,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,687.81 : 352,702.87 = 160,028.43 : x
  2. Step 2: Convert to fraction form
    255,687.81/352,702.87 = 160,028.43/x
  3. Step 3: Cross multiply
    255,687.81x = 352,702.87 × 160,028.43
  4. Step 4: Simplify right side
    255,687.81x = 56,442,486,142.52
  5. Step 5: Solve for x
    x = 56,442,486,142.52/255,687.81
  6. Step 6: Final answer
    x = 220,747.66

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Why These Related Problems?

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