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Finding the Fourth Proportional to 144,905.80, 217,358.70 and 81,920.20

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Solution

The fourth proportional to 144,905.80, 217,358.70 and 81,920.20 is: 122,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,905.80 : 217,358.70 = 81,920.20 : x
  2. Step 2: Convert to fraction form
    144,905.80/217,358.70 = 81,920.20/x
  3. Step 3: Cross multiply
    144,905.80x = 217,358.70 × 81,920.20
  4. Step 4: Simplify right side
    144,905.80x = 17,806,068,175.74
  5. Step 5: Solve for x
    x = 17,806,068,175.74/144,905.80
  6. Step 6: Final answer
    x = 122,880.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.