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Finding the Fourth Proportional to 125,974.95, 173,838.87 and 78,227.28

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Solution

The fourth proportional to 125,974.95, 173,838.87 and 78,227.28 is: 107,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974.95 : 173,838.87 = 78,227.28 : x
  2. Step 2: Convert to fraction form
    125,974.95/173,838.87 = 78,227.28/x
  3. Step 3: Cross multiply
    125,974.95x = 173,838.87 × 78,227.28
  4. Step 4: Simplify right side
    125,974.95x = 13,598,941,958.37
  5. Step 5: Solve for x
    x = 13,598,941,958.37/125,974.95
  6. Step 6: Final answer
    x = 107,949.57

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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.