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Finding the Fourth Proportional to 142,500.80, 196,650.24 and 78,837.24

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Solution

The fourth proportional to 142,500.80, 196,650.24 and 78,837.24 is: 108,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,500.80 : 196,650.24 = 78,837.24 : x
  2. Step 2: Convert to fraction form
    142,500.80/196,650.24 = 78,837.24/x
  3. Step 3: Cross multiply
    142,500.80x = 196,650.24 × 78,837.24
  4. Step 4: Simplify right side
    142,500.80x = 15,503,362,166.94
  5. Step 5: Solve for x
    x = 15,503,362,166.94/142,500.80
  6. Step 6: Final answer
    x = 108,794.91

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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.