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Finding the Fourth Proportional to 98,138.50, 147,210.18 and 35,809

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Solution

The fourth proportional to 98,138.50, 147,210.18 and 35,809 is: 53,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,138.50 : 147,210.18 = 35,809 : x
  2. Step 2: Convert to fraction form
    98,138.50/147,210.18 = 35,809/x
  3. Step 3: Cross multiply
    98,138.50x = 147,210.18 × 35,809
  4. Step 4: Simplify right side
    98,138.50x = 5,271,449,335.62
  5. Step 5: Solve for x
    x = 5,271,449,335.62/98,138.50
  6. Step 6: Final answer
    x = 53,714.39

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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.