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Finding the Fourth Proportional to 120,702.47, 166,530.87 and 69,708.47

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Solution

The fourth proportional to 120,702.47, 166,530.87 and 69,708.47 is: 96,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702.47 : 166,530.87 = 69,708.47 : x
  2. Step 2: Convert to fraction form
    120,702.47/166,530.87 = 69,708.47/x
  3. Step 3: Cross multiply
    120,702.47x = 166,530.87 × 69,708.47
  4. Step 4: Simplify right side
    120,702.47x = 11,608,611,322.81
  5. Step 5: Solve for x
    x = 11,608,611,322.81/120,702.47
  6. Step 6: Final answer
    x = 96,175.43

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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.