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Finding the Fourth Proportional to 98,536, 135,979.68 and 53,824

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Solution

The fourth proportional to 98,536, 135,979.68 and 53,824 is: 74,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536 : 135,979.68 = 53,824 : x
  2. Step 2: Convert to fraction form
    98,536/135,979.68 = 53,824/x
  3. Step 3: Cross multiply
    98,536x = 135,979.68 × 53,824
  4. Step 4: Simplify right side
    98,536x = 7,318,970,296.32
  5. Step 5: Solve for x
    x = 7,318,970,296.32/98,536
  6. Step 6: Final answer
    x = 74,277.12

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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.