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Finding the Fourth Proportional to 141,738.40, 213,068.40 and 100,471.20

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Solution

The fourth proportional to 141,738.40, 213,068.40 and 100,471.20 is: 151,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,738.40 : 213,068.40 = 100,471.20 : x
  2. Step 2: Convert to fraction form
    141,738.40/213,068.40 = 100,471.20/x
  3. Step 3: Cross multiply
    141,738.40x = 213,068.40 × 100,471.20
  4. Step 4: Simplify right side
    141,738.40x = 21,407,237,830.08
  5. Step 5: Solve for x
    x = 21,407,237,830.08/141,738.40
  6. Step 6: Final answer
    x = 151,033.44

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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.