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Finding the Fourth Proportional to 243,097.20, 364,645.80 and 154,414.35

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Solution

The fourth proportional to 243,097.20, 364,645.80 and 154,414.35 is: 231,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,097.20 : 364,645.80 = 154,414.35 : x
  2. Step 2: Convert to fraction form
    243,097.20/364,645.80 = 154,414.35/x
  3. Step 3: Cross multiply
    243,097.20x = 364,645.80 × 154,414.35
  4. Step 4: Simplify right side
    243,097.20x = 56,306,544,187.23
  5. Step 5: Solve for x
    x = 56,306,544,187.23/243,097.20
  6. Step 6: Final answer
    x = 231,621.53

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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.