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Finding the Fourth Proportional to 128,409.98, 192,650.40 and 53,565.30

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Solution

The fourth proportional to 128,409.98, 192,650.40 and 53,565.30 is: 80,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,409.98 : 192,650.40 = 53,565.30 : x
  2. Step 2: Convert to fraction form
    128,409.98/192,650.40 = 53,565.30/x
  3. Step 3: Cross multiply
    128,409.98x = 192,650.40 × 53,565.30
  4. Step 4: Simplify right side
    128,409.98x = 10,319,376,471.12
  5. Step 5: Solve for x
    x = 10,319,376,471.12/128,409.98
  6. Step 6: Final answer
    x = 80,362.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.