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Finding the Fourth Proportional to 132,894.13, 199,374 and 39,399.88

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Solution

The fourth proportional to 132,894.13, 199,374 and 39,399.88 is: 59,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,894.13 : 199,374 = 39,399.88 : x
  2. Step 2: Convert to fraction form
    132,894.13/199,374 = 39,399.88/x
  3. Step 3: Cross multiply
    132,894.13x = 199,374 × 39,399.88
  4. Step 4: Simplify right side
    132,894.13x = 7,855,311,675.12
  5. Step 5: Solve for x
    x = 7,855,311,675.12/132,894.13
  6. Step 6: Final answer
    x = 59,109.55

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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.