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Finding the Fourth Proportional to 180,339, 270,332.70 and 75,188.04

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Solution

The fourth proportional to 180,339, 270,332.70 and 75,188.04 is: 112,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,339 : 270,332.70 = 75,188.04 : x
  2. Step 2: Convert to fraction form
    180,339/270,332.70 = 75,188.04/x
  3. Step 3: Cross multiply
    180,339x = 270,332.70 × 75,188.04
  4. Step 4: Simplify right side
    180,339x = 20,325,785,860.91
  5. Step 5: Solve for x
    x = 20,325,785,860.91/180,339
  6. Step 6: Final answer
    x = 112,708.76

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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.