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Finding the Fourth Proportional to 125,049.12, 172,651.32 and 74,078.34

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Solution

The fourth proportional to 125,049.12, 172,651.32 and 74,078.34 is: 102,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,049.12 : 172,651.32 = 74,078.34 : x
  2. Step 2: Convert to fraction form
    125,049.12/172,651.32 = 74,078.34/x
  3. Step 3: Cross multiply
    125,049.12x = 172,651.32 × 74,078.34
  4. Step 4: Simplify right side
    125,049.12x = 12,789,723,184.41
  5. Step 5: Solve for x
    x = 12,789,723,184.41/125,049.12
  6. Step 6: Final answer
    x = 102,277.59

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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.