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Finding the Fourth Proportional to 139,406.40, 209,117.61 and 39,558.78

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Solution

The fourth proportional to 139,406.40, 209,117.61 and 39,558.78 is: 59,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,406.40 : 209,117.61 = 39,558.78 : x
  2. Step 2: Convert to fraction form
    139,406.40/209,117.61 = 39,558.78/x
  3. Step 3: Cross multiply
    139,406.40x = 209,117.61 × 39,558.78
  4. Step 4: Simplify right side
    139,406.40x = 8,272,437,528.12
  5. Step 5: Solve for x
    x = 8,272,437,528.12/139,406.40
  6. Step 6: Final answer
    x = 59,340.44

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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.