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Finding the Fourth Proportional to 209,976.32, 289,756.80 and 119,320.32

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Solution

The fourth proportional to 209,976.32, 289,756.80 and 119,320.32 is: 164,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,976.32 : 289,756.80 = 119,320.32 : x
  2. Step 2: Convert to fraction form
    209,976.32/289,756.80 = 119,320.32/x
  3. Step 3: Cross multiply
    209,976.32x = 289,756.80 × 119,320.32
  4. Step 4: Simplify right side
    209,976.32x = 34,573,874,098.18
  5. Step 5: Solve for x
    x = 34,573,874,098.18/209,976.32
  6. Step 6: Final answer
    x = 164,656.06

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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.