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Finding the Fourth Proportional to 209,396.52, 288,903.24 and 118,747.80

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Solution

The fourth proportional to 209,396.52, 288,903.24 and 118,747.80 is: 163,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,396.52 : 288,903.24 = 118,747.80 : x
  2. Step 2: Convert to fraction form
    209,396.52/288,903.24 = 118,747.80/x
  3. Step 3: Cross multiply
    209,396.52x = 288,903.24 × 118,747.80
  4. Step 4: Simplify right side
    209,396.52x = 34,306,624,162.87
  5. Step 5: Solve for x
    x = 34,306,624,162.87/209,396.52
  6. Step 6: Final answer
    x = 163,835.69

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1.5x scale

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.