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Finding the Fourth Proportional to 209,238.40, 288,745.59 and 113,747.50

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Solution

The fourth proportional to 209,238.40, 288,745.59 and 113,747.50 is: 156,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,238.40 : 288,745.59 = 113,747.50 : x
  2. Step 2: Convert to fraction form
    209,238.40/288,745.59 = 113,747.50/x
  3. Step 3: Cross multiply
    209,238.40x = 288,745.59 × 113,747.50
  4. Step 4: Simplify right side
    209,238.40x = 32,844,088,998.53
  5. Step 5: Solve for x
    x = 32,844,088,998.53/209,238.40
  6. Step 6: Final answer
    x = 156,969.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.