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Finding the Fourth Proportional to 172,013.60, 257,977.20 and 61,179.68

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Solution

The fourth proportional to 172,013.60, 257,977.20 and 61,179.68 is: 91,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,013.60 : 257,977.20 = 61,179.68 : x
  2. Step 2: Convert to fraction form
    172,013.60/257,977.20 = 61,179.68/x
  3. Step 3: Cross multiply
    172,013.60x = 257,977.20 × 61,179.68
  4. Step 4: Simplify right side
    172,013.60x = 15,782,962,543.30
  5. Step 5: Solve for x
    x = 15,782,962,543.30/172,013.60
  6. Step 6: Final answer
    x = 91,754.16

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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.