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Finding the Fourth Proportional to 66,871.72, 100,309.02 and 31,814.92

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Solution

The fourth proportional to 66,871.72, 100,309.02 and 31,814.92 is: 47,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,871.72 : 100,309.02 = 31,814.92 : x
  2. Step 2: Convert to fraction form
    66,871.72/100,309.02 = 31,814.92/x
  3. Step 3: Cross multiply
    66,871.72x = 100,309.02 × 31,814.92
  4. Step 4: Simplify right side
    66,871.72x = 3,191,323,446.58
  5. Step 5: Solve for x
    x = 3,191,323,446.58/66,871.72
  6. Step 6: Final answer
    x = 47,723.07

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1.5x scale

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.