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Finding the Fourth Proportional to 213,793.71, 294,944.94 and 123,127.98

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Solution

The fourth proportional to 213,793.71, 294,944.94 and 123,127.98 is: 169,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793.71 : 294,944.94 = 123,127.98 : x
  2. Step 2: Convert to fraction form
    213,793.71/294,944.94 = 123,127.98/x
  3. Step 3: Cross multiply
    213,793.71x = 294,944.94 × 123,127.98
  4. Step 4: Simplify right side
    213,793.71x = 36,315,974,673.42
  5. Step 5: Solve for x
    x = 36,315,974,673.42/213,793.71
  6. Step 6: Final answer
    x = 169,864.56

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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.