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Finding the Fourth Proportional to 98,416.64, 147,534.12 and 39,238

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Solution

The fourth proportional to 98,416.64, 147,534.12 and 39,238 is: 58,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416.64 : 147,534.12 = 39,238 : x
  2. Step 2: Convert to fraction form
    98,416.64/147,534.12 = 39,238/x
  3. Step 3: Cross multiply
    98,416.64x = 147,534.12 × 39,238
  4. Step 4: Simplify right side
    98,416.64x = 5,788,943,800.56
  5. Step 5: Solve for x
    x = 5,788,943,800.56/98,416.64
  6. Step 6: Final answer
    x = 58,820.78

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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.