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Finding the Fourth Proportional to 262,764.16, 394,084.80 and 85,225.60

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Solution

The fourth proportional to 262,764.16, 394,084.80 and 85,225.60 is: 127,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,764.16 : 394,084.80 = 85,225.60 : x
  2. Step 2: Convert to fraction form
    262,764.16/394,084.80 = 85,225.60/x
  3. Step 3: Cross multiply
    262,764.16x = 394,084.80 × 85,225.60
  4. Step 4: Simplify right side
    262,764.16x = 33,586,113,530.88
  5. Step 5: Solve for x
    x = 33,586,113,530.88/262,764.16
  6. Step 6: Final answer
    x = 127,818.47

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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.