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Finding the Fourth Proportional to 172,506.58, 258,672.34 and 78,932.14

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Solution

The fourth proportional to 172,506.58, 258,672.34 and 78,932.14 is: 118,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,506.58 : 258,672.34 = 78,932.14 : x
  2. Step 2: Convert to fraction form
    172,506.58/258,672.34 = 78,932.14/x
  3. Step 3: Cross multiply
    172,506.58x = 258,672.34 × 78,932.14
  4. Step 4: Simplify right side
    172,506.58x = 20,417,561,355.01
  5. Step 5: Solve for x
    x = 20,417,561,355.01/172,506.58
  6. Step 6: Final answer
    x = 118,358.16

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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.