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Finding the Fourth Proportional to 137,716.52, 190,052.19 and 77,291.75

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Solution

The fourth proportional to 137,716.52, 190,052.19 and 77,291.75 is: 106,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.52 : 190,052.19 = 77,291.75 : x
  2. Step 2: Convert to fraction form
    137,716.52/190,052.19 = 77,291.75/x
  3. Step 3: Cross multiply
    137,716.52x = 190,052.19 × 77,291.75
  4. Step 4: Simplify right side
    137,716.52x = 14,689,466,831.56
  5. Step 5: Solve for x
    x = 14,689,466,831.56/137,716.52
  6. Step 6: Final answer
    x = 106,664.53

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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.