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Finding the Fourth Proportional to 188,392.86, 259,981.38 and 107,820

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Solution

The fourth proportional to 188,392.86, 259,981.38 and 107,820 is: 148,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,392.86 : 259,981.38 = 107,820 : x
  2. Step 2: Convert to fraction form
    188,392.86/259,981.38 = 107,820/x
  3. Step 3: Cross multiply
    188,392.86x = 259,981.38 × 107,820
  4. Step 4: Simplify right side
    188,392.86x = 28,031,192,391.60
  5. Step 5: Solve for x
    x = 28,031,192,391.60/188,392.86
  6. Step 6: Final answer
    x = 148,791.16

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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.