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Finding the Fourth Proportional to 172,045.88, 257,970.42 and 66,741.92

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Solution

The fourth proportional to 172,045.88, 257,970.42 and 66,741.92 is: 100,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,045.88 : 257,970.42 = 66,741.92 : x
  2. Step 2: Convert to fraction form
    172,045.88/257,970.42 = 66,741.92/x
  3. Step 3: Cross multiply
    172,045.88x = 257,970.42 × 66,741.92
  4. Step 4: Simplify right side
    172,045.88x = 17,217,441,134.01
  5. Step 5: Solve for x
    x = 17,217,441,134.01/172,045.88
  6. Step 6: Final answer
    x = 100,074.71

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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.