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Finding the Fourth Proportional to 268,139.46, 402,203.01 and 134,983.95

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Solution

The fourth proportional to 268,139.46, 402,203.01 and 134,983.95 is: 202,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,139.46 : 402,203.01 = 134,983.95 : x
  2. Step 2: Convert to fraction form
    268,139.46/402,203.01 = 134,983.95/x
  3. Step 3: Cross multiply
    268,139.46x = 402,203.01 × 134,983.95
  4. Step 4: Simplify right side
    268,139.46x = 54,290,950,991.69
  5. Step 5: Solve for x
    x = 54,290,950,991.69/268,139.46
  6. Step 6: Final answer
    x = 202,472.81

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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.