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Finding the Fourth Proportional to 81,794.30, 112,842.60 and 51,569.96

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Solution

The fourth proportional to 81,794.30, 112,842.60 and 51,569.96 is: 71,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.30 : 112,842.60 = 51,569.96 : x
  2. Step 2: Convert to fraction form
    81,794.30/112,842.60 = 51,569.96/x
  3. Step 3: Cross multiply
    81,794.30x = 112,842.60 × 51,569.96
  4. Step 4: Simplify right side
    81,794.30x = 5,819,288,368.30
  5. Step 5: Solve for x
    x = 5,819,288,368.30/81,794.30
  6. Step 6: Final answer
    x = 71,145.40

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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.