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Finding the Fourth Proportional to 128,366.30, 192,582.35 and 53,461.54

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Solution

The fourth proportional to 128,366.30, 192,582.35 and 53,461.54 is: 80,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,366.30 : 192,582.35 = 53,461.54 : x
  2. Step 2: Convert to fraction form
    128,366.30/192,582.35 = 53,461.54/x
  3. Step 3: Cross multiply
    128,366.30x = 192,582.35 × 53,461.54
  4. Step 4: Simplify right side
    128,366.30x = 10,295,749,007.82
  5. Step 5: Solve for x
    x = 10,295,749,007.82/128,366.30
  6. Step 6: Final answer
    x = 80,206.01

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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.