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Finding the Fourth Proportional to 137,894.69, 190,273.94 and 77,453.76

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Solution

The fourth proportional to 137,894.69, 190,273.94 and 77,453.76 is: 106,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.69 : 190,273.94 = 77,453.76 : x
  2. Step 2: Convert to fraction form
    137,894.69/190,273.94 = 77,453.76/x
  3. Step 3: Cross multiply
    137,894.69x = 190,273.94 × 77,453.76
  4. Step 4: Simplify right side
    137,894.69x = 14,737,431,695.75
  5. Step 5: Solve for x
    x = 14,737,431,695.75/137,894.69
  6. Step 6: Final answer
    x = 106,874.54

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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.