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Finding the Fourth Proportional to 142,326, 196,409.16 and 78,663.24

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Solution

The fourth proportional to 142,326, 196,409.16 and 78,663.24 is: 108,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,326 : 196,409.16 = 78,663.24 : x
  2. Step 2: Convert to fraction form
    142,326/196,409.16 = 78,663.24/x
  3. Step 3: Cross multiply
    142,326x = 196,409.16 × 78,663.24
  4. Step 4: Simplify right side
    142,326x = 15,450,180,891.28
  5. Step 5: Solve for x
    x = 15,450,180,891.28/142,326
  6. Step 6: Final answer
    x = 108,554.87

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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.