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Finding the Fourth Proportional to 128,578.25, 192,898.16 and 53,656.71

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Solution

The fourth proportional to 128,578.25, 192,898.16 and 53,656.71 is: 80,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,578.25 : 192,898.16 = 53,656.71 : x
  2. Step 2: Convert to fraction form
    128,578.25/192,898.16 = 53,656.71/x
  3. Step 3: Cross multiply
    128,578.25x = 192,898.16 × 53,656.71
  4. Step 4: Simplify right side
    128,578.25x = 10,350,280,362.37
  5. Step 5: Solve for x
    x = 10,350,280,362.37/128,578.25
  6. Step 6: Final answer
    x = 80,497.91

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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.