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Finding the Fourth Proportional to 81,711.10, 112,774.44 and 76,374.82

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Solution

The fourth proportional to 81,711.10, 112,774.44 and 76,374.82 is: 105,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.10 : 112,774.44 = 76,374.82 : x
  2. Step 2: Convert to fraction form
    81,711.10/112,774.44 = 76,374.82/x
  3. Step 3: Cross multiply
    81,711.10x = 112,774.44 × 76,374.82
  4. Step 4: Simplify right side
    81,711.10x = 8,613,127,555.60
  5. Step 5: Solve for x
    x = 8,613,127,555.60/81,711.10
  6. Step 6: Final answer
    x = 105,409.52

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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.