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Finding the Fourth Proportional to 172,964, 259,448.16 and 62,156

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Solution

The fourth proportional to 172,964, 259,448.16 and 62,156 is: 93,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,964 : 259,448.16 = 62,156 : x
  2. Step 2: Convert to fraction form
    172,964/259,448.16 = 62,156/x
  3. Step 3: Cross multiply
    172,964x = 259,448.16 × 62,156
  4. Step 4: Simplify right side
    172,964x = 16,126,259,832.96
  5. Step 5: Solve for x
    x = 16,126,259,832.96/172,964
  6. Step 6: Final answer
    x = 93,234.78

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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.