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Finding the Fourth Proportional to 98,038.12, 135,198.50 and 65,845.48

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Solution

The fourth proportional to 98,038.12, 135,198.50 and 65,845.48 is: 90,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,038.12 : 135,198.50 = 65,845.48 : x
  2. Step 2: Convert to fraction form
    98,038.12/135,198.50 = 65,845.48/x
  3. Step 3: Cross multiply
    98,038.12x = 135,198.50 × 65,845.48
  4. Step 4: Simplify right side
    98,038.12x = 8,902,210,127.78
  5. Step 5: Solve for x
    x = 8,902,210,127.78/98,038.12
  6. Step 6: Final answer
    x = 90,803.56

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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.