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Finding the Fourth Proportional to 222,642, 307,246.68 and 120,669.12

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Solution

The fourth proportional to 222,642, 307,246.68 and 120,669.12 is: 166,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,642 : 307,246.68 = 120,669.12 : x
  2. Step 2: Convert to fraction form
    222,642/307,246.68 = 120,669.12/x
  3. Step 3: Cross multiply
    222,642x = 307,246.68 × 120,669.12
  4. Step 4: Simplify right side
    222,642x = 37,075,186,498.52
  5. Step 5: Solve for x
    x = 37,075,186,498.52/222,642
  6. Step 6: Final answer
    x = 166,523.78

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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.