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Finding the Fourth Proportional to 161,566, 222,815.92 and 101,142.15

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Solution

The fourth proportional to 161,566, 222,815.92 and 101,142.15 is: 139,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,566 : 222,815.92 = 101,142.15 : x
  2. Step 2: Convert to fraction form
    161,566/222,815.92 = 101,142.15/x
  3. Step 3: Cross multiply
    161,566x = 222,815.92 × 101,142.15
  4. Step 4: Simplify right side
    161,566x = 22,536,081,203.03
  5. Step 5: Solve for x
    x = 22,536,081,203.03/161,566
  6. Step 6: Final answer
    x = 139,485.30

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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.