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Finding the Fourth Proportional to 98,418.64, 147,537.12 and 39,240

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Solution

The fourth proportional to 98,418.64, 147,537.12 and 39,240 is: 58,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,418.64 : 147,537.12 = 39,240 : x
  2. Step 2: Convert to fraction form
    98,418.64/147,537.12 = 39,240/x
  3. Step 3: Cross multiply
    98,418.64x = 147,537.12 × 39,240
  4. Step 4: Simplify right side
    98,418.64x = 5,789,356,588.80
  5. Step 5: Solve for x
    x = 5,789,356,588.80/98,418.64
  6. Step 6: Final answer
    x = 58,823.78

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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.