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Finding the Fourth Proportional to 139,699.84, 209,582.32 and 39,861.40

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Solution

The fourth proportional to 139,699.84, 209,582.32 and 39,861.40 is: 59,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,699.84 : 209,582.32 = 39,861.40 : x
  2. Step 2: Convert to fraction form
    139,699.84/209,582.32 = 39,861.40/x
  3. Step 3: Cross multiply
    139,699.84x = 209,582.32 × 39,861.40
  4. Step 4: Simplify right side
    139,699.84x = 8,354,244,690.45
  5. Step 5: Solve for x
    x = 8,354,244,690.45/139,699.84
  6. Step 6: Final answer
    x = 59,801.39

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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.