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Finding the Fourth Proportional to 172,123.80, 257,822.82 and 78,708.12

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Solution

The fourth proportional to 172,123.80, 257,822.82 and 78,708.12 is: 117,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,123.80 : 257,822.82 = 78,708.12 : x
  2. Step 2: Convert to fraction form
    172,123.80/257,822.82 = 78,708.12/x
  3. Step 3: Cross multiply
    172,123.80x = 257,822.82 × 78,708.12
  4. Step 4: Simplify right side
    172,123.80x = 20,292,749,455.30
  5. Step 5: Solve for x
    x = 20,292,749,455.30/172,123.80
  6. Step 6: Final answer
    x = 117,896.24

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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.