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Finding the Fourth Proportional to 201,488.88, 278,064 and 116,589.52

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Solution

The fourth proportional to 201,488.88, 278,064 and 116,589.52 is: 160,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,488.88 : 278,064 = 116,589.52 : x
  2. Step 2: Convert to fraction form
    201,488.88/278,064 = 116,589.52/x
  3. Step 3: Cross multiply
    201,488.88x = 278,064 × 116,589.52
  4. Step 4: Simplify right side
    201,488.88x = 32,419,348,289.28
  5. Step 5: Solve for x
    x = 32,419,348,289.28/201,488.88
  6. Step 6: Final answer
    x = 160,898.95

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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.