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Finding the Fourth Proportional to 66,973.82, 100,460.75 and 31,806.86

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Solution

The fourth proportional to 66,973.82, 100,460.75 and 31,806.86 is: 47,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,973.82 : 100,460.75 = 31,806.86 : x
  2. Step 2: Convert to fraction form
    66,973.82/100,460.75 = 31,806.86/x
  3. Step 3: Cross multiply
    66,973.82x = 100,460.75 × 31,806.86
  4. Step 4: Simplify right side
    66,973.82x = 3,195,340,349.41
  5. Step 5: Solve for x
    x = 3,195,340,349.41/66,973.82
  6. Step 6: Final answer
    x = 47,710.29

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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.