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Finding the Fourth Proportional to 243,022.60, 364,533.90 and 138,046.60

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Solution

The fourth proportional to 243,022.60, 364,533.90 and 138,046.60 is: 207,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,022.60 : 364,533.90 = 138,046.60 : x
  2. Step 2: Convert to fraction form
    243,022.60/364,533.90 = 138,046.60/x
  3. Step 3: Cross multiply
    243,022.60x = 364,533.90 × 138,046.60
  4. Step 4: Simplify right side
    243,022.60x = 50,322,665,479.74
  5. Step 5: Solve for x
    x = 50,322,665,479.74/243,022.60
  6. Step 6: Final answer
    x = 207,069.90

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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.