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Finding the Fourth Proportional to 81,457.31, 122,158.62 and 36,450.47

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Solution

The fourth proportional to 81,457.31, 122,158.62 and 36,450.47 is: 54,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.31 : 122,158.62 = 36,450.47 : x
  2. Step 2: Convert to fraction form
    81,457.31/122,158.62 = 36,450.47/x
  3. Step 3: Cross multiply
    81,457.31x = 122,158.62 × 36,450.47
  4. Step 4: Simplify right side
    81,457.31x = 4,452,738,502.76
  5. Step 5: Solve for x
    x = 4,452,738,502.76/81,457.31
  6. Step 6: Final answer
    x = 54,663.46

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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.