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Finding the Fourth Proportional to 139,506.36, 209,228.01 and 39,664.36

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Solution

The fourth proportional to 139,506.36, 209,228.01 and 39,664.36 is: 59,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,506.36 : 209,228.01 = 39,664.36 : x
  2. Step 2: Convert to fraction form
    139,506.36/209,228.01 = 39,664.36/x
  3. Step 3: Cross multiply
    139,506.36x = 209,228.01 × 39,664.36
  4. Step 4: Simplify right side
    139,506.36x = 8,298,895,110.72
  5. Step 5: Solve for x
    x = 8,298,895,110.72/139,506.36
  6. Step 6: Final answer
    x = 59,487.58

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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.