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Finding the Fourth Proportional to 137,862.92, 190,237.39 and 77,419.82

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Solution

The fourth proportional to 137,862.92, 190,237.39 and 77,419.82 is: 106,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,862.92 : 190,237.39 = 77,419.82 : x
  2. Step 2: Convert to fraction form
    137,862.92/190,237.39 = 77,419.82/x
  3. Step 3: Cross multiply
    137,862.92x = 190,237.39 × 77,419.82
  4. Step 4: Simplify right side
    137,862.92x = 14,728,143,346.33
  5. Step 5: Solve for x
    x = 14,728,143,346.33/137,862.92
  6. Step 6: Final answer
    x = 106,831.80

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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.