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Finding the Fourth Proportional to 222,362.30, 306,857.72 and 120,385.06

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Solution

The fourth proportional to 222,362.30, 306,857.72 and 120,385.06 is: 166,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,362.30 : 306,857.72 = 120,385.06 : x
  2. Step 2: Convert to fraction form
    222,362.30/306,857.72 = 120,385.06/x
  3. Step 3: Cross multiply
    222,362.30x = 306,857.72 × 120,385.06
  4. Step 4: Simplify right side
    222,362.30x = 36,941,084,567.48
  5. Step 5: Solve for x
    x = 36,941,084,567.48/222,362.30
  6. Step 6: Final answer
    x = 166,130.16

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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.