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Finding the Fourth Proportional to 209,790, 289,619.89 and 163,750.95

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Solution

The fourth proportional to 209,790, 289,619.89 and 163,750.95 is: 226,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790 : 289,619.89 = 163,750.95 : x
  2. Step 2: Convert to fraction form
    209,790/289,619.89 = 163,750.95/x
  3. Step 3: Cross multiply
    209,790x = 289,619.89 × 163,750.95
  4. Step 4: Simplify right side
    209,790x = 47,425,531,717.02
  5. Step 5: Solve for x
    x = 47,425,531,717.02/209,790
  6. Step 6: Final answer
    x = 226,061.93

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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.