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Finding the Fourth Proportional to 144,872.70, 217,309.05 and 109,880.70

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Solution

The fourth proportional to 144,872.70, 217,309.05 and 109,880.70 is: 164,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,872.70 : 217,309.05 = 109,880.70 : x
  2. Step 2: Convert to fraction form
    144,872.70/217,309.05 = 109,880.70/x
  3. Step 3: Cross multiply
    144,872.70x = 217,309.05 × 109,880.70
  4. Step 4: Simplify right side
    144,872.70x = 23,878,070,530.34
  5. Step 5: Solve for x
    x = 23,878,070,530.34/144,872.70
  6. Step 6: Final answer
    x = 164,821.05

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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.