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Finding the Fourth Proportional to 250,509, 345,702.42 and 137,332.56

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Solution

The fourth proportional to 250,509, 345,702.42 and 137,332.56 is: 189,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,509 : 345,702.42 = 137,332.56 : x
  2. Step 2: Convert to fraction form
    250,509/345,702.42 = 137,332.56/x
  3. Step 3: Cross multiply
    250,509x = 345,702.42 × 137,332.56
  4. Step 4: Simplify right side
    250,509x = 47,476,198,336.80
  5. Step 5: Solve for x
    x = 47,476,198,336.80/250,509
  6. Step 6: Final answer
    x = 189,518.93

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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.