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Finding the Fourth Proportional to 144,680.40, 217,020.60 and 97,441.20

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Solution

The fourth proportional to 144,680.40, 217,020.60 and 97,441.20 is: 146,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,680.40 : 217,020.60 = 97,441.20 : x
  2. Step 2: Convert to fraction form
    144,680.40/217,020.60 = 97,441.20/x
  3. Step 3: Cross multiply
    144,680.40x = 217,020.60 × 97,441.20
  4. Step 4: Simplify right side
    144,680.40x = 21,146,747,688.72
  5. Step 5: Solve for x
    x = 21,146,747,688.72/144,680.40
  6. Step 6: Final answer
    x = 146,161.80

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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.