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Finding the Fourth Proportional to 137,429.14, 205,963.47 and 99,605.46

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Solution

The fourth proportional to 137,429.14, 205,963.47 and 99,605.46 is: 149,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,429.14 : 205,963.47 = 99,605.46 : x
  2. Step 2: Convert to fraction form
    137,429.14/205,963.47 = 99,605.46/x
  3. Step 3: Cross multiply
    137,429.14x = 205,963.47 × 99,605.46
  4. Step 4: Simplify right side
    137,429.14x = 20,515,086,172.55
  5. Step 5: Solve for x
    x = 20,515,086,172.55/137,429.14
  6. Step 6: Final answer
    x = 149,277.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.