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Finding the Fourth Proportional to 98,640.28, 147,982.29 and 28,514.26

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Solution

The fourth proportional to 98,640.28, 147,982.29 and 28,514.26 is: 42,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640.28 : 147,982.29 = 28,514.26 : x
  2. Step 2: Convert to fraction form
    98,640.28/147,982.29 = 28,514.26/x
  3. Step 3: Cross multiply
    98,640.28x = 147,982.29 × 28,514.26
  4. Step 4: Simplify right side
    98,640.28x = 4,219,605,492.46
  5. Step 5: Solve for x
    x = 4,219,605,492.46/98,640.28
  6. Step 6: Final answer
    x = 42,777.71

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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.