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Finding the Fourth Proportional to 125,782.56, 188,761.32 and 81,298.98

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Solution

The fourth proportional to 125,782.56, 188,761.32 and 81,298.98 is: 122,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,782.56 : 188,761.32 = 81,298.98 : x
  2. Step 2: Convert to fraction form
    125,782.56/188,761.32 = 81,298.98/x
  3. Step 3: Cross multiply
    125,782.56x = 188,761.32 × 81,298.98
  4. Step 4: Simplify right side
    125,782.56x = 15,346,103,032.64
  5. Step 5: Solve for x
    x = 15,346,103,032.64/125,782.56
  6. Step 6: Final answer
    x = 122,005.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.