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Finding the Fourth Proportional to 98,245, 135,578.12 and 53,533

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Solution

The fourth proportional to 98,245, 135,578.12 and 53,533 is: 73,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,245 : 135,578.12 = 53,533 : x
  2. Step 2: Convert to fraction form
    98,245/135,578.12 = 53,533/x
  3. Step 3: Cross multiply
    98,245x = 135,578.12 × 53,533
  4. Step 4: Simplify right side
    98,245x = 7,257,903,497.96
  5. Step 5: Solve for x
    x = 7,257,903,497.96/98,245
  6. Step 6: Final answer
    x = 73,875.55

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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.