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Finding the Fourth Proportional to 129,643.40, 194,465.10 and 115,646.60

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Solution

The fourth proportional to 129,643.40, 194,465.10 and 115,646.60 is: 173,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,643.40 : 194,465.10 = 115,646.60 : x
  2. Step 2: Convert to fraction form
    129,643.40/194,465.10 = 115,646.60/x
  3. Step 3: Cross multiply
    129,643.40x = 194,465.10 × 115,646.60
  4. Step 4: Simplify right side
    129,643.40x = 22,489,227,633.66
  5. Step 5: Solve for x
    x = 22,489,227,633.66/129,643.40
  6. Step 6: Final answer
    x = 173,469.90

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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.