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Finding the Fourth Proportional to 268,094.77, 402,141.89 and 68,415.15

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Solution

The fourth proportional to 268,094.77, 402,141.89 and 68,415.15 is: 102,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,094.77 : 402,141.89 = 68,415.15 : x
  2. Step 2: Convert to fraction form
    268,094.77/402,141.89 = 68,415.15/x
  3. Step 3: Cross multiply
    268,094.77x = 402,141.89 × 68,415.15
  4. Step 4: Simplify right side
    268,094.77x = 27,512,598,559.95
  5. Step 5: Solve for x
    x = 27,512,598,559.95/268,094.77
  6. Step 6: Final answer
    x = 102,622.66

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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.