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Finding the Fourth Proportional to 142,288.88, 196,391.39 and 81,894.40

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Solution

The fourth proportional to 142,288.88, 196,391.39 and 81,894.40 is: 113,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,288.88 : 196,391.39 = 81,894.40 : x
  2. Step 2: Convert to fraction form
    142,288.88/196,391.39 = 81,894.40/x
  3. Step 3: Cross multiply
    142,288.88x = 196,391.39 × 81,894.40
  4. Step 4: Simplify right side
    142,288.88x = 16,083,354,148.77
  5. Step 5: Solve for x
    x = 16,083,354,148.77/142,288.88
  6. Step 6: Final answer
    x = 113,033.11

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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.