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Finding the Fourth Proportional to 139,397.90, 209,166.31 and 55,218.73

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Solution

The fourth proportional to 139,397.90, 209,166.31 and 55,218.73 is: 82,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,397.90 : 209,166.31 = 55,218.73 : x
  2. Step 2: Convert to fraction form
    139,397.90/209,166.31 = 55,218.73/x
  3. Step 3: Cross multiply
    139,397.90x = 209,166.31 × 55,218.73
  4. Step 4: Simplify right side
    139,397.90x = 11,549,898,368.26
  5. Step 5: Solve for x
    x = 11,549,898,368.26/139,397.90
  6. Step 6: Final answer
    x = 82,855.61

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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.