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Finding the Fourth Proportional to 78,287.70, 117,439.24 and 22,128.24

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Solution

The fourth proportional to 78,287.70, 117,439.24 and 22,128.24 is: 33,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287.70 : 117,439.24 = 22,128.24 : x
  2. Step 2: Convert to fraction form
    78,287.70/117,439.24 = 22,128.24/x
  3. Step 3: Cross multiply
    78,287.70x = 117,439.24 × 22,128.24
  4. Step 4: Simplify right side
    78,287.70x = 2,598,723,688.14
  5. Step 5: Solve for x
    x = 2,598,723,688.14/78,287.70
  6. Step 6: Final answer
    x = 33,194.53

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1.5x scale

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.