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Finding the Fourth Proportional to 81,757.60, 112,779.27 and 51,490.87

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Solution

The fourth proportional to 81,757.60, 112,779.27 and 51,490.87 is: 71,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,757.60 : 112,779.27 = 51,490.87 : x
  2. Step 2: Convert to fraction form
    81,757.60/112,779.27 = 51,490.87/x
  3. Step 3: Cross multiply
    81,757.60x = 112,779.27 × 51,490.87
  4. Step 4: Simplify right side
    81,757.60x = 5,807,102,730.26
  5. Step 5: Solve for x
    x = 5,807,102,730.26/81,757.60
  6. Step 6: Final answer
    x = 71,028.29

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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.