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Finding the Fourth Proportional to 84,481.56, 116,572 and 51,312.50

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Solution

The fourth proportional to 84,481.56, 116,572 and 51,312.50 is: 70,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,481.56 : 116,572 = 51,312.50 : x
  2. Step 2: Convert to fraction form
    84,481.56/116,572 = 51,312.50/x
  3. Step 3: Cross multiply
    84,481.56x = 116,572 × 51,312.50
  4. Step 4: Simplify right side
    84,481.56x = 5,981,600,750
  5. Step 5: Solve for x
    x = 5,981,600,750/84,481.56
  6. Step 6: Final answer
    x = 70,803.63

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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.