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Finding the Fourth Proportional to 210,078.45, 289,932.78 and 119,448

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Solution

The fourth proportional to 210,078.45, 289,932.78 and 119,448 is: 164,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,078.45 : 289,932.78 = 119,448 : x
  2. Step 2: Convert to fraction form
    210,078.45/289,932.78 = 119,448/x
  3. Step 3: Cross multiply
    210,078.45x = 289,932.78 × 119,448
  4. Step 4: Simplify right side
    210,078.45x = 34,631,890,705.44
  5. Step 5: Solve for x
    x = 34,631,890,705.44/210,078.45
  6. Step 6: Final answer
    x = 164,852.18

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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.