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Finding the Fourth Proportional to 209,572.16, 289,124.16 and 128,975.36

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Solution

The fourth proportional to 209,572.16, 289,124.16 and 128,975.36 is: 177,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,572.16 : 289,124.16 = 128,975.36 : x
  2. Step 2: Convert to fraction form
    209,572.16/289,124.16 = 128,975.36/x
  3. Step 3: Cross multiply
    209,572.16x = 289,124.16 × 128,975.36
  4. Step 4: Simplify right side
    209,572.16x = 37,289,892,620.70
  5. Step 5: Solve for x
    x = 37,289,892,620.70/209,572.16
  6. Step 6: Final answer
    x = 177,933.43

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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.