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Finding the Fourth Proportional to 207,182.82, 310,776.03 and 66,941.46

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Solution

The fourth proportional to 207,182.82, 310,776.03 and 66,941.46 is: 100,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,182.82 : 310,776.03 = 66,941.46 : x
  2. Step 2: Convert to fraction form
    207,182.82/310,776.03 = 66,941.46/x
  3. Step 3: Cross multiply
    207,182.82x = 310,776.03 × 66,941.46
  4. Step 4: Simplify right side
    207,182.82x = 20,803,801,181.20
  5. Step 5: Solve for x
    x = 20,803,801,181.20/207,182.82
  6. Step 6: Final answer
    x = 100,412.77

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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.