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Finding the Fourth Proportional to 250,755.75, 346,040.10 and 137,578.50

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Solution

The fourth proportional to 250,755.75, 346,040.10 and 137,578.50 is: 189,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,755.75 : 346,040.10 = 137,578.50 : x
  2. Step 2: Convert to fraction form
    250,755.75/346,040.10 = 137,578.50/x
  3. Step 3: Cross multiply
    250,755.75x = 346,040.10 × 137,578.50
  4. Step 4: Simplify right side
    250,755.75x = 47,607,677,897.85
  5. Step 5: Solve for x
    x = 47,607,677,897.85/250,755.75
  6. Step 6: Final answer
    x = 189,856.77

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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.