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Finding the Fourth Proportional to 142,339.78, 196,420.50 and 78,673.78

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Solution

The fourth proportional to 142,339.78, 196,420.50 and 78,673.78 is: 108,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,339.78 : 196,420.50 = 78,673.78 : x
  2. Step 2: Convert to fraction form
    142,339.78/196,420.50 = 78,673.78/x
  3. Step 3: Cross multiply
    142,339.78x = 196,420.50 × 78,673.78
  4. Step 4: Simplify right side
    142,339.78x = 15,453,143,204.49
  5. Step 5: Solve for x
    x = 15,453,143,204.49/142,339.78
  6. Step 6: Final answer
    x = 108,565.18

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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.