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Finding the Fourth Proportional to 114,713.78, 171,986.78 and 77,180.54

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Solution

The fourth proportional to 114,713.78, 171,986.78 and 77,180.54 is: 115,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,713.78 : 171,986.78 = 77,180.54 : x
  2. Step 2: Convert to fraction form
    114,713.78/171,986.78 = 77,180.54/x
  3. Step 3: Cross multiply
    114,713.78x = 171,986.78 × 77,180.54
  4. Step 4: Simplify right side
    114,713.78x = 13,274,031,886.28
  5. Step 5: Solve for x
    x = 13,274,031,886.28/114,713.78
  6. Step 6: Final answer
    x = 115,714.37

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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.