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Finding the Fourth Proportional to 243,138.80, 364,598.76 and 102,825.20

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Solution

The fourth proportional to 243,138.80, 364,598.76 and 102,825.20 is: 154,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,138.80 : 364,598.76 = 102,825.20 : x
  2. Step 2: Convert to fraction form
    243,138.80/364,598.76 = 102,825.20/x
  3. Step 3: Cross multiply
    243,138.80x = 364,598.76 × 102,825.20
  4. Step 4: Simplify right side
    243,138.80x = 37,489,940,416.75
  5. Step 5: Solve for x
    x = 37,489,940,416.75/243,138.80
  6. Step 6: Final answer
    x = 154,191.52

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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.