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Finding the Fourth Proportional to 83,574.91, 125,380.82 and 30,984.39

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Solution

The fourth proportional to 83,574.91, 125,380.82 and 30,984.39 is: 46,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.91 : 125,380.82 = 30,984.39 : x
  2. Step 2: Convert to fraction form
    83,574.91/125,380.82 = 30,984.39/x
  3. Step 3: Cross multiply
    83,574.91x = 125,380.82 × 30,984.39
  4. Step 4: Simplify right side
    83,574.91x = 3,884,848,070.48
  5. Step 5: Solve for x
    x = 3,884,848,070.48/83,574.91
  6. Step 6: Final answer
    x = 46,483.43

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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.