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Finding the Fourth Proportional to 139,447.98, 209,184.12 and 39,609

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Solution

The fourth proportional to 139,447.98, 209,184.12 and 39,609 is: 59,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,447.98 : 209,184.12 = 39,609 : x
  2. Step 2: Convert to fraction form
    139,447.98/209,184.12 = 39,609/x
  3. Step 3: Cross multiply
    139,447.98x = 209,184.12 × 39,609
  4. Step 4: Simplify right side
    139,447.98x = 8,285,573,809.08
  5. Step 5: Solve for x
    x = 8,285,573,809.08/139,447.98
  6. Step 6: Final answer
    x = 59,416.95

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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.