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Finding the Fourth Proportional to 140,658.63, 210,981.47 and 51,906.39

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Solution

The fourth proportional to 140,658.63, 210,981.47 and 51,906.39 is: 77,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.63 : 210,981.47 = 51,906.39 : x
  2. Step 2: Convert to fraction form
    140,658.63/210,981.47 = 51,906.39/x
  3. Step 3: Cross multiply
    140,658.63x = 210,981.47 × 51,906.39
  4. Step 4: Simplify right side
    140,658.63x = 10,951,286,205.06
  5. Step 5: Solve for x
    x = 10,951,286,205.06/140,658.63
  6. Step 6: Final answer
    x = 77,857.19

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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.