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Finding the Fourth Proportional to 172,971.46, 259,267.65 and 67,674.70

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Solution

The fourth proportional to 172,971.46, 259,267.65 and 67,674.70 is: 101,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,971.46 : 259,267.65 = 67,674.70 : x
  2. Step 2: Convert to fraction form
    172,971.46/259,267.65 = 67,674.70/x
  3. Step 3: Cross multiply
    172,971.46x = 259,267.65 × 67,674.70
  4. Step 4: Simplify right side
    172,971.46x = 17,545,860,433.46
  5. Step 5: Solve for x
    x = 17,545,860,433.46/172,971.46
  6. Step 6: Final answer
    x = 101,437.89

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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.