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Finding the Fourth Proportional to 209,911.64, 289,474.56 and 133,295.60

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Solution

The fourth proportional to 209,911.64, 289,474.56 and 133,295.60 is: 183,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,911.64 : 289,474.56 = 133,295.60 : x
  2. Step 2: Convert to fraction form
    209,911.64/289,474.56 = 133,295.60/x
  3. Step 3: Cross multiply
    209,911.64x = 289,474.56 × 133,295.60
  4. Step 4: Simplify right side
    209,911.64x = 38,585,685,159.94
  5. Step 5: Solve for x
    x = 38,585,685,159.94/209,911.64
  6. Step 6: Final answer
    x = 183,818.70

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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.