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Finding the Fourth Proportional to 81,709.43, 112,746.73 and 45,892.58

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Solution

The fourth proportional to 81,709.43, 112,746.73 and 45,892.58 is: 63,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,709.43 : 112,746.73 = 45,892.58 : x
  2. Step 2: Convert to fraction form
    81,709.43/112,746.73 = 45,892.58/x
  3. Step 3: Cross multiply
    81,709.43x = 112,746.73 × 45,892.58
  4. Step 4: Simplify right side
    81,709.43x = 5,174,237,533.07
  5. Step 5: Solve for x
    x = 5,174,237,533.07/81,709.43
  6. Step 6: Final answer
    x = 63,324.86

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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.