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Finding the Fourth Proportional to 137,791.86, 190,151.10 and 77,361

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Solution

The fourth proportional to 137,791.86, 190,151.10 and 77,361 is: 106,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,791.86 : 190,151.10 = 77,361 : x
  2. Step 2: Convert to fraction form
    137,791.86/190,151.10 = 77,361/x
  3. Step 3: Cross multiply
    137,791.86x = 190,151.10 × 77,361
  4. Step 4: Simplify right side
    137,791.86x = 14,710,279,247.10
  5. Step 5: Solve for x
    x = 14,710,279,247.10/137,791.86
  6. Step 6: Final answer
    x = 106,757.24

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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.