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Finding the Fourth Proportional to 243,241.74, 364,269.69 and 137,740.86

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Solution

The fourth proportional to 243,241.74, 364,269.69 and 137,740.86 is: 206,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,241.74 : 364,269.69 = 137,740.86 : x
  2. Step 2: Convert to fraction form
    243,241.74/364,269.69 = 137,740.86/x
  3. Step 3: Cross multiply
    243,241.74x = 364,269.69 × 137,740.86
  4. Step 4: Simplify right side
    243,241.74x = 50,174,820,372.53
  5. Step 5: Solve for x
    x = 50,174,820,372.53/243,241.74
  6. Step 6: Final answer
    x = 206,275.54

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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.