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Finding the Fourth Proportional to 81,457.48, 122,110.48 and 31,570.12

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Solution

The fourth proportional to 81,457.48, 122,110.48 and 31,570.12 is: 47,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.48 : 122,110.48 = 31,570.12 : x
  2. Step 2: Convert to fraction form
    81,457.48/122,110.48 = 31,570.12/x
  3. Step 3: Cross multiply
    81,457.48x = 122,110.48 × 31,570.12
  4. Step 4: Simplify right side
    81,457.48x = 3,855,042,506.86
  5. Step 5: Solve for x
    x = 3,855,042,506.86/81,457.48
  6. Step 6: Final answer
    x = 47,325.83

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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.