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Finding the Fourth Proportional to 128,049.62, 192,032.90 and 42,637.68

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Solution

The fourth proportional to 128,049.62, 192,032.90 and 42,637.68 is: 63,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,049.62 : 192,032.90 = 42,637.68 : x
  2. Step 2: Convert to fraction form
    128,049.62/192,032.90 = 42,637.68/x
  3. Step 3: Cross multiply
    128,049.62x = 192,032.90 × 42,637.68
  4. Step 4: Simplify right side
    128,049.62x = 8,187,837,339.67
  5. Step 5: Solve for x
    x = 8,187,837,339.67/128,049.62
  6. Step 6: Final answer
    x = 63,942.69

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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.