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Finding the Fourth Proportional to 83,854.82, 125,782.32 and 21,525.32

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Solution

The fourth proportional to 83,854.82, 125,782.32 and 21,525.32 is: 32,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,854.82 : 125,782.32 = 21,525.32 : x
  2. Step 2: Convert to fraction form
    83,854.82/125,782.32 = 21,525.32/x
  3. Step 3: Cross multiply
    83,854.82x = 125,782.32 × 21,525.32
  4. Step 4: Simplify right side
    83,854.82x = 2,707,504,688.34
  5. Step 5: Solve for x
    x = 2,707,504,688.34/83,854.82
  6. Step 6: Final answer
    x = 32,288.00

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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.