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Finding the Fourth Proportional to 98,548, 135,996.32 and 53,836

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Solution

The fourth proportional to 98,548, 135,996.32 and 53,836 is: 74,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,548 : 135,996.32 = 53,836 : x
  2. Step 2: Convert to fraction form
    98,548/135,996.32 = 53,836/x
  3. Step 3: Cross multiply
    98,548x = 135,996.32 × 53,836
  4. Step 4: Simplify right side
    98,548x = 7,321,497,883.52
  5. Step 5: Solve for x
    x = 7,321,497,883.52/98,548
  6. Step 6: Final answer
    x = 74,293.72

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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.