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Finding the Fourth Proportional to 187,894, 259,429.80 and 120,942.64

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Solution

The fourth proportional to 187,894, 259,429.80 and 120,942.64 is: 166,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,894 : 259,429.80 = 120,942.64 : x
  2. Step 2: Convert to fraction form
    187,894/259,429.80 = 120,942.64/x
  3. Step 3: Cross multiply
    187,894x = 259,429.80 × 120,942.64
  4. Step 4: Simplify right side
    187,894x = 31,376,124,906.67
  5. Step 5: Solve for x
    x = 31,376,124,906.67/187,894
  6. Step 6: Final answer
    x = 166,988.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.