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Finding the Fourth Proportional to 172,311.90, 257,884.65 and 151,316.70

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Solution

The fourth proportional to 172,311.90, 257,884.65 and 151,316.70 is: 226,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,311.90 : 257,884.65 = 151,316.70 : x
  2. Step 2: Convert to fraction form
    172,311.90/257,884.65 = 151,316.70/x
  3. Step 3: Cross multiply
    172,311.90x = 257,884.65 × 151,316.70
  4. Step 4: Simplify right side
    172,311.90x = 39,022,254,218.66
  5. Step 5: Solve for x
    x = 39,022,254,218.66/172,311.90
  6. Step 6: Final answer
    x = 226,462.91

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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.