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Finding the Fourth Proportional to 153,068.40, 229,991.40 and 135,961.20

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Solution

The fourth proportional to 153,068.40, 229,991.40 and 135,961.20 is: 204,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,068.40 : 229,991.40 = 135,961.20 : x
  2. Step 2: Convert to fraction form
    153,068.40/229,991.40 = 135,961.20/x
  3. Step 3: Cross multiply
    153,068.40x = 229,991.40 × 135,961.20
  4. Step 4: Simplify right side
    153,068.40x = 31,269,906,733.68
  5. Step 5: Solve for x
    x = 31,269,906,733.68/153,068.40
  6. Step 6: Final answer
    x = 204,287.15

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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.