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Finding the Fourth Proportional to 98,297.89, 147,418.30 and 38,313

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Solution

The fourth proportional to 98,297.89, 147,418.30 and 38,313 is: 57,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,297.89 : 147,418.30 = 38,313 : x
  2. Step 2: Convert to fraction form
    98,297.89/147,418.30 = 38,313/x
  3. Step 3: Cross multiply
    98,297.89x = 147,418.30 × 38,313
  4. Step 4: Simplify right side
    98,297.89x = 5,648,037,375.79
  5. Step 5: Solve for x
    x = 5,648,037,375.79/98,297.89
  6. Step 6: Final answer
    x = 57,458.38

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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.