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Finding the Fourth Proportional to 139,704.94, 209,559.34 and 39,865.11

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Solution

The fourth proportional to 139,704.94, 209,559.34 and 39,865.11 is: 59,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,704.94 : 209,559.34 = 39,865.11 : x
  2. Step 2: Convert to fraction form
    139,704.94/209,559.34 = 39,865.11/x
  3. Step 3: Cross multiply
    139,704.94x = 209,559.34 × 39,865.11
  4. Step 4: Simplify right side
    139,704.94x = 8,354,105,643.24
  5. Step 5: Solve for x
    x = 8,354,105,643.24/139,704.94
  6. Step 6: Final answer
    x = 59,798.21

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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.