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Finding the Fourth Proportional to 81,471.96, 112,262.76 and 65,492.28

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Solution

The fourth proportional to 81,471.96, 112,262.76 and 65,492.28 is: 90,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471.96 : 112,262.76 = 65,492.28 : x
  2. Step 2: Convert to fraction form
    81,471.96/112,262.76 = 65,492.28/x
  3. Step 3: Cross multiply
    81,471.96x = 112,262.76 × 65,492.28
  4. Step 4: Simplify right side
    81,471.96x = 7,352,344,111.49
  5. Step 5: Solve for x
    x = 7,352,344,111.49/81,471.96
  6. Step 6: Final answer
    x = 90,243.86

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1.5x scale

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.