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Finding the Fourth Proportional to 83,406.38, 115,072.21 and 47,570.62

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Solution

The fourth proportional to 83,406.38, 115,072.21 and 47,570.62 is: 65,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.38 : 115,072.21 = 47,570.62 : x
  2. Step 2: Convert to fraction form
    83,406.38/115,072.21 = 47,570.62/x
  3. Step 3: Cross multiply
    83,406.38x = 115,072.21 × 47,570.62
  4. Step 4: Simplify right side
    83,406.38x = 5,474,056,374.47
  5. Step 5: Solve for x
    x = 5,474,056,374.47/83,406.38
  6. Step 6: Final answer
    x = 65,631.15

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1.5x scale

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.