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Finding the Fourth Proportional to 83,855.82, 125,783.82 and 21,526.32

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Solution

The fourth proportional to 83,855.82, 125,783.82 and 21,526.32 is: 32,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.82 : 125,783.82 = 21,526.32 : x
  2. Step 2: Convert to fraction form
    83,855.82/125,783.82 = 21,526.32/x
  3. Step 3: Cross multiply
    83,855.82x = 125,783.82 × 21,526.32
  4. Step 4: Simplify right side
    83,855.82x = 2,707,662,760.14
  5. Step 5: Solve for x
    x = 2,707,662,760.14/83,855.82
  6. Step 6: Final answer
    x = 32,289.50

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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.