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Finding the Fourth Proportional to 250,813.91, 346,133.18 and 137,640.71

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Solution

The fourth proportional to 250,813.91, 346,133.18 and 137,640.71 is: 189,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,813.91 : 346,133.18 = 137,640.71 : x
  2. Step 2: Convert to fraction form
    250,813.91/346,133.18 = 137,640.71/x
  3. Step 3: Cross multiply
    250,813.91x = 346,133.18 × 137,640.71
  4. Step 4: Simplify right side
    250,813.91x = 47,642,015,961.55
  5. Step 5: Solve for x
    x = 47,642,015,961.55/250,813.91
  6. Step 6: Final answer
    x = 189,949.66

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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.