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Finding the Fourth Proportional to 81,457.98, 112,407.37 and 47,472

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Solution

The fourth proportional to 81,457.98, 112,407.37 and 47,472 is: 65,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.98 : 112,407.37 = 47,472 : x
  2. Step 2: Convert to fraction form
    81,457.98/112,407.37 = 47,472/x
  3. Step 3: Cross multiply
    81,457.98x = 112,407.37 × 47,472
  4. Step 4: Simplify right side
    81,457.98x = 5,336,202,668.64
  5. Step 5: Solve for x
    x = 5,336,202,668.64/81,457.98
  6. Step 6: Final answer
    x = 65,508.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.