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Finding the Fourth Proportional to 142,593.92, 196,782.40 and 78,929.92

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Solution

The fourth proportional to 142,593.92, 196,782.40 and 78,929.92 is: 108,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,593.92 : 196,782.40 = 78,929.92 : x
  2. Step 2: Convert to fraction form
    142,593.92/196,782.40 = 78,929.92/x
  3. Step 3: Cross multiply
    142,593.92x = 196,782.40 × 78,929.92
  4. Step 4: Simplify right side
    142,593.92x = 15,532,019,089.41
  5. Step 5: Solve for x
    x = 15,532,019,089.41/142,593.92
  6. Step 6: Final answer
    x = 108,924.83

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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.