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Finding the Fourth Proportional to 180,639.51, 270,967.91 and 87,223.83

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Solution

The fourth proportional to 180,639.51, 270,967.91 and 87,223.83 is: 130,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,639.51 : 270,967.91 = 87,223.83 : x
  2. Step 2: Convert to fraction form
    180,639.51/270,967.91 = 87,223.83/x
  3. Step 3: Cross multiply
    180,639.51x = 270,967.91 × 87,223.83
  4. Step 4: Simplify right side
    180,639.51x = 23,634,858,481.18
  5. Step 5: Solve for x
    x = 23,634,858,481.18/180,639.51
  6. Step 6: Final answer
    x = 130,839.92

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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.