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Finding the Fourth Proportional to 98,109, 135,390.42 and 53,397

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Solution

The fourth proportional to 98,109, 135,390.42 and 53,397 is: 73,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,109 : 135,390.42 = 53,397 : x
  2. Step 2: Convert to fraction form
    98,109/135,390.42 = 53,397/x
  3. Step 3: Cross multiply
    98,109x = 135,390.42 × 53,397
  4. Step 4: Simplify right side
    98,109x = 7,229,442,256.74
  5. Step 5: Solve for x
    x = 7,229,442,256.74/98,109
  6. Step 6: Final answer
    x = 73,687.86

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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.