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Finding the Fourth Proportional to 84,457.66, 126,704.55 and 31,149.79

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Solution

The fourth proportional to 84,457.66, 126,704.55 and 31,149.79 is: 46,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,457.66 : 126,704.55 = 31,149.79 : x
  2. Step 2: Convert to fraction form
    84,457.66/126,704.55 = 31,149.79/x
  3. Step 3: Cross multiply
    84,457.66x = 126,704.55 × 31,149.79
  4. Step 4: Simplify right side
    84,457.66x = 3,946,820,124.54
  5. Step 5: Solve for x
    x = 3,946,820,124.54/84,457.66
  6. Step 6: Final answer
    x = 46,731.35

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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.