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Finding the Fourth Proportional to 117,782.20, 176,241.30 and 86,678.20

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Solution

The fourth proportional to 117,782.20, 176,241.30 and 86,678.20 is: 129,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,782.20 : 176,241.30 = 86,678.20 : x
  2. Step 2: Convert to fraction form
    117,782.20/176,241.30 = 86,678.20/x
  3. Step 3: Cross multiply
    117,782.20x = 176,241.30 × 86,678.20
  4. Step 4: Simplify right side
    117,782.20x = 15,276,278,649.66
  5. Step 5: Solve for x
    x = 15,276,278,649.66/117,782.20
  6. Step 6: Final answer
    x = 129,699.38

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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.