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Finding the Fourth Proportional to 125,585.28, 188,138.88 and 74,880

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Solution

The fourth proportional to 125,585.28, 188,138.88 and 74,880 is: 112,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,585.28 : 188,138.88 = 74,880 : x
  2. Step 2: Convert to fraction form
    125,585.28/188,138.88 = 74,880/x
  3. Step 3: Cross multiply
    125,585.28x = 188,138.88 × 74,880
  4. Step 4: Simplify right side
    125,585.28x = 14,087,839,334.40
  5. Step 5: Solve for x
    x = 14,087,839,334.40/125,585.28
  6. Step 6: Final answer
    x = 112,177.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.