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Finding the Fourth Proportional to 268,116.64, 402,230.22 and 78,583.30

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Solution

The fourth proportional to 268,116.64, 402,230.22 and 78,583.30 is: 117,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,116.64 : 402,230.22 = 78,583.30 : x
  2. Step 2: Convert to fraction form
    268,116.64/402,230.22 = 78,583.30/x
  3. Step 3: Cross multiply
    268,116.64x = 402,230.22 × 78,583.30
  4. Step 4: Simplify right side
    268,116.64x = 31,608,578,047.33
  5. Step 5: Solve for x
    x = 31,608,578,047.33/268,116.64
  6. Step 6: Final answer
    x = 117,891.15

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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.