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Finding the Fourth Proportional to 139,394.66, 209,092.16 and 38,193.58

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Solution

The fourth proportional to 139,394.66, 209,092.16 and 38,193.58 is: 57,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,394.66 : 209,092.16 = 38,193.58 : x
  2. Step 2: Convert to fraction form
    139,394.66/209,092.16 = 38,193.58/x
  3. Step 3: Cross multiply
    139,394.66x = 209,092.16 × 38,193.58
  4. Step 4: Simplify right side
    139,394.66x = 7,985,976,903.90
  5. Step 5: Solve for x
    x = 7,985,976,903.90/139,394.66
  6. Step 6: Final answer
    x = 57,290.41

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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.