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Finding the Fourth Proportional to 188,476.83, 260,135.85 and 111,981.20

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Solution

The fourth proportional to 188,476.83, 260,135.85 and 111,981.20 is: 154,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,476.83 : 260,135.85 = 111,981.20 : x
  2. Step 2: Convert to fraction form
    188,476.83/260,135.85 = 111,981.20/x
  3. Step 3: Cross multiply
    188,476.83x = 260,135.85 × 111,981.20
  4. Step 4: Simplify right side
    188,476.83x = 29,130,324,646.02
  5. Step 5: Solve for x
    x = 29,130,324,646.02/188,476.83
  6. Step 6: Final answer
    x = 154,556.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.