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Finding the Fourth Proportional to 137,862.80, 190,237.20 and 77,419.70

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Solution

The fourth proportional to 137,862.80, 190,237.20 and 77,419.70 is: 106,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,862.80 : 190,237.20 = 77,419.70 : x
  2. Step 2: Convert to fraction form
    137,862.80/190,237.20 = 77,419.70/x
  3. Step 3: Cross multiply
    137,862.80x = 190,237.20 × 77,419.70
  4. Step 4: Simplify right side
    137,862.80x = 14,728,106,952.84
  5. Step 5: Solve for x
    x = 14,728,106,952.84/137,862.80
  6. Step 6: Final answer
    x = 106,831.63

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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.