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Finding the Fourth Proportional to 81,643.70, 112,667.31 and 45,832.79

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Solution

The fourth proportional to 81,643.70, 112,667.31 and 45,832.79 is: 63,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643.70 : 112,667.31 = 45,832.79 : x
  2. Step 2: Convert to fraction form
    81,643.70/112,667.31 = 45,832.79/x
  3. Step 3: Cross multiply
    81,643.70x = 112,667.31 × 45,832.79
  4. Step 4: Simplify right side
    81,643.70x = 5,163,856,595.76
  5. Step 5: Solve for x
    x = 5,163,856,595.76/81,643.70
  6. Step 6: Final answer
    x = 63,248.69

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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.