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Finding the Fourth Proportional to 98,512, 135,947.36 and 53,800

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Solution

The fourth proportional to 98,512, 135,947.36 and 53,800 is: 74,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512 : 135,947.36 = 53,800 : x
  2. Step 2: Convert to fraction form
    98,512/135,947.36 = 53,800/x
  3. Step 3: Cross multiply
    98,512x = 135,947.36 × 53,800
  4. Step 4: Simplify right side
    98,512x = 7,313,967,968.00
  5. Step 5: Solve for x
    x = 7,313,967,968.00/98,512
  6. Step 6: Final answer
    x = 74,244.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.