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Finding the Fourth Proportional to 268,378.84, 402,542.34 and 81,391.96

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Solution

The fourth proportional to 268,378.84, 402,542.34 and 81,391.96 is: 122,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,378.84 : 402,542.34 = 81,391.96 : x
  2. Step 2: Convert to fraction form
    268,378.84/402,542.34 = 81,391.96/x
  3. Step 3: Cross multiply
    268,378.84x = 402,542.34 × 81,391.96
  4. Step 4: Simplify right side
    268,378.84x = 32,763,710,035.59
  5. Step 5: Solve for x
    x = 32,763,710,035.59/268,378.84
  6. Step 6: Final answer
    x = 122,080.08

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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.