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Finding the Fourth Proportional to 222,927.96, 307,784.70 and 138,135

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Solution

The fourth proportional to 222,927.96, 307,784.70 and 138,135 is: 190,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,927.96 : 307,784.70 = 138,135 : x
  2. Step 2: Convert to fraction form
    222,927.96/307,784.70 = 138,135/x
  3. Step 3: Cross multiply
    222,927.96x = 307,784.70 × 138,135
  4. Step 4: Simplify right side
    222,927.96x = 42,515,839,534.50
  5. Step 5: Solve for x
    x = 42,515,839,534.50/222,927.96
  6. Step 6: Final answer
    x = 190,715.60

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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.