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Finding the Fourth Proportional to 144,178.56, 198,932.40 and 83,713.34

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Solution

The fourth proportional to 144,178.56, 198,932.40 and 83,713.34 is: 115,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,178.56 : 198,932.40 = 83,713.34 : x
  2. Step 2: Convert to fraction form
    144,178.56/198,932.40 = 83,713.34/x
  3. Step 3: Cross multiply
    144,178.56x = 198,932.40 × 83,713.34
  4. Step 4: Simplify right side
    144,178.56x = 16,653,294,643.55
  5. Step 5: Solve for x
    x = 16,653,294,643.55/144,178.56
  6. Step 6: Final answer
    x = 115,504.65

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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.