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Finding the Fourth Proportional to 262,681.84, 394,071.96 and 85,165.78

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Solution

The fourth proportional to 262,681.84, 394,071.96 and 85,165.78 is: 127,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,681.84 : 394,071.96 = 85,165.78 : x
  2. Step 2: Convert to fraction form
    262,681.84/394,071.96 = 85,165.78/x
  3. Step 3: Cross multiply
    262,681.84x = 394,071.96 × 85,165.78
  4. Step 4: Simplify right side
    262,681.84x = 33,561,445,849.53
  5. Step 5: Solve for x
    x = 33,561,445,849.53/262,681.84
  6. Step 6: Final answer
    x = 127,764.62

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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.