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Finding the Fourth Proportional to 70,975.83, 106,463.74 and 18,385.31

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Solution

The fourth proportional to 70,975.83, 106,463.74 and 18,385.31 is: 27,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,975.83 : 106,463.74 = 18,385.31 : x
  2. Step 2: Convert to fraction form
    70,975.83/106,463.74 = 18,385.31/x
  3. Step 3: Cross multiply
    70,975.83x = 106,463.74 × 18,385.31
  4. Step 4: Simplify right side
    70,975.83x = 1,957,369,170.04
  5. Step 5: Solve for x
    x = 1,957,369,170.04/70,975.83
  6. Step 6: Final answer
    x = 27,577.97

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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.