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Finding the Fourth Proportional to 142,388.78, 196,491.71 and 81,951.04

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Solution

The fourth proportional to 142,388.78, 196,491.71 and 81,951.04 is: 113,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,388.78 : 196,491.71 = 81,951.04 : x
  2. Step 2: Convert to fraction form
    142,388.78/196,491.71 = 81,951.04/x
  3. Step 3: Cross multiply
    142,388.78x = 196,491.71 × 81,951.04
  4. Step 4: Simplify right side
    142,388.78x = 16,102,698,593.66
  5. Step 5: Solve for x
    x = 16,102,698,593.66/142,388.78
  6. Step 6: Final answer
    x = 113,089.66

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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.