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Finding the Fourth Proportional to 128,578.83, 192,898.82 and 53,657.34

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Solution

The fourth proportional to 128,578.83, 192,898.82 and 53,657.34 is: 80,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,578.83 : 192,898.82 = 53,657.34 : x
  2. Step 2: Convert to fraction form
    128,578.83/192,898.82 = 53,657.34/x
  3. Step 3: Cross multiply
    128,578.83x = 192,898.82 × 53,657.34
  4. Step 4: Simplify right side
    128,578.83x = 10,350,437,302.05
  5. Step 5: Solve for x
    x = 10,350,437,302.05/128,578.83
  6. Step 6: Final answer
    x = 80,498.77

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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.