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Finding the Fourth Proportional to 98,978.15, 148,383.85 and 67,299.46

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Solution

The fourth proportional to 98,978.15, 148,383.85 and 67,299.46 is: 100,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978.15 : 148,383.85 = 67,299.46 : x
  2. Step 2: Convert to fraction form
    98,978.15/148,383.85 = 67,299.46/x
  3. Step 3: Cross multiply
    98,978.15x = 148,383.85 × 67,299.46
  4. Step 4: Simplify right side
    98,978.15x = 9,986,152,564.70
  5. Step 5: Solve for x
    x = 9,986,152,564.70/98,978.15
  6. Step 6: Final answer
    x = 100,892.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.