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Finding the Fourth Proportional to 142,395, 196,508.52 and 92,181.48

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Solution

The fourth proportional to 142,395, 196,508.52 and 92,181.48 is: 127,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,395 : 196,508.52 = 92,181.48 : x
  2. Step 2: Convert to fraction form
    142,395/196,508.52 = 92,181.48/x
  3. Step 3: Cross multiply
    142,395x = 196,508.52 × 92,181.48
  4. Step 4: Simplify right side
    142,395x = 18,114,446,206.21
  5. Step 5: Solve for x
    x = 18,114,446,206.21/142,395
  6. Step 6: Final answer
    x = 127,212.66

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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.