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Finding the Fourth Proportional to 120,309.98, 166,031.64 and 69,318.63

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Solution

The fourth proportional to 120,309.98, 166,031.64 and 69,318.63 is: 95,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,309.98 : 166,031.64 = 69,318.63 : x
  2. Step 2: Convert to fraction form
    120,309.98/166,031.64 = 69,318.63/x
  3. Step 3: Cross multiply
    120,309.98x = 166,031.64 × 69,318.63
  4. Step 4: Simplify right side
    120,309.98x = 11,509,085,821.45
  5. Step 5: Solve for x
    x = 11,509,085,821.45/120,309.98
  6. Step 6: Final answer
    x = 95,661.94

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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.