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Finding the Fourth Proportional to 98,489.78, 135,914.11 and 56,047.38

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Solution

The fourth proportional to 98,489.78, 135,914.11 and 56,047.38 is: 77,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,489.78 : 135,914.11 = 56,047.38 : x
  2. Step 2: Convert to fraction form
    98,489.78/135,914.11 = 56,047.38/x
  3. Step 3: Cross multiply
    98,489.78x = 135,914.11 × 56,047.38
  4. Step 4: Simplify right side
    98,489.78x = 7,617,629,770.53
  5. Step 5: Solve for x
    x = 7,617,629,770.53/98,489.78
  6. Step 6: Final answer
    x = 77,344.37

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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.