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Finding the Fourth Proportional to 169,645.52, 254,429.40 and 76,178

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Solution

The fourth proportional to 169,645.52, 254,429.40 and 76,178 is: 114,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,645.52 : 254,429.40 = 76,178 : x
  2. Step 2: Convert to fraction form
    169,645.52/254,429.40 = 76,178/x
  3. Step 3: Cross multiply
    169,645.52x = 254,429.40 × 76,178
  4. Step 4: Simplify right side
    169,645.52x = 19,381,922,833.20
  5. Step 5: Solve for x
    x = 19,381,922,833.20/169,645.52
  6. Step 6: Final answer
    x = 114,249.54

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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.