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Finding the Fourth Proportional to 202,171.84, 278,819.89 and 161,870.91

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Solution

The fourth proportional to 202,171.84, 278,819.89 and 161,870.91 is: 223,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171.84 : 278,819.89 = 161,870.91 : x
  2. Step 2: Convert to fraction form
    202,171.84/278,819.89 = 161,870.91/x
  3. Step 3: Cross multiply
    202,171.84x = 278,819.89 × 161,870.91
  4. Step 4: Simplify right side
    202,171.84x = 45,132,829,320.40
  5. Step 5: Solve for x
    x = 45,132,829,320.40/202,171.84
  6. Step 6: Final answer
    x = 223,239.94

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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.