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Finding the Fourth Proportional to 98,109.25, 135,390.77 and 53,397.25

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Solution

The fourth proportional to 98,109.25, 135,390.77 and 53,397.25 is: 73,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,109.25 : 135,390.77 = 53,397.25 : x
  2. Step 2: Convert to fraction form
    98,109.25/135,390.77 = 53,397.25/x
  3. Step 3: Cross multiply
    98,109.25x = 135,390.77 × 53,397.25
  4. Step 4: Simplify right side
    98,109.25x = 7,229,494,793.38
  5. Step 5: Solve for x
    x = 7,229,494,793.38/98,109.25
  6. Step 6: Final answer
    x = 73,688.21

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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.