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Finding the Fourth Proportional to 128,340.57, 192,543.65 and 53,435.82

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Solution

The fourth proportional to 128,340.57, 192,543.65 and 53,435.82 is: 80,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,340.57 : 192,543.65 = 53,435.82 : x
  2. Step 2: Convert to fraction form
    128,340.57/192,543.65 = 53,435.82/x
  3. Step 3: Cross multiply
    128,340.57x = 192,543.65 × 53,435.82
  4. Step 4: Simplify right side
    128,340.57x = 10,288,727,823.54
  5. Step 5: Solve for x
    x = 10,288,727,823.54/128,340.57
  6. Step 6: Final answer
    x = 80,167.38

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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.