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Finding the Fourth Proportional to 119,137.28, 164,403 and 65,429.36

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Solution

The fourth proportional to 119,137.28, 164,403 and 65,429.36 is: 90,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,137.28 : 164,403 = 65,429.36 : x
  2. Step 2: Convert to fraction form
    119,137.28/164,403 = 65,429.36/x
  3. Step 3: Cross multiply
    119,137.28x = 164,403 × 65,429.36
  4. Step 4: Simplify right side
    119,137.28x = 10,756,783,072.08
  5. Step 5: Solve for x
    x = 10,756,783,072.08/119,137.28
  6. Step 6: Final answer
    x = 90,288.98

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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.