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Finding the Fourth Proportional to 222,985.88, 307,591.84 and 142,322.50

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Solution

The fourth proportional to 222,985.88, 307,591.84 and 142,322.50 is: 196,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,985.88 : 307,591.84 = 142,322.50 : x
  2. Step 2: Convert to fraction form
    222,985.88/307,591.84 = 142,322.50/x
  3. Step 3: Cross multiply
    222,985.88x = 307,591.84 × 142,322.50
  4. Step 4: Simplify right side
    222,985.88x = 43,777,239,648.40
  5. Step 5: Solve for x
    x = 43,777,239,648.40/222,985.88
  6. Step 6: Final answer
    x = 196,322.92

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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.