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Finding the Fourth Proportional to 250,944.86, 346,304.50 and 137,774.90

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Solution

The fourth proportional to 250,944.86, 346,304.50 and 137,774.90 is: 190,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,944.86 : 346,304.50 = 137,774.90 : x
  2. Step 2: Convert to fraction form
    250,944.86/346,304.50 = 137,774.90/x
  3. Step 3: Cross multiply
    250,944.86x = 346,304.50 × 137,774.90
  4. Step 4: Simplify right side
    250,944.86x = 47,712,067,857.05
  5. Step 5: Solve for x
    x = 47,712,067,857.05/250,944.86
  6. Step 6: Final answer
    x = 190,129.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.