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Finding the Fourth Proportional to 144,814.40, 217,027.20 and 103,212.80

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Solution

The fourth proportional to 144,814.40, 217,027.20 and 103,212.80 is: 154,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,814.40 : 217,027.20 = 103,212.80 : x
  2. Step 2: Convert to fraction form
    144,814.40/217,027.20 = 103,212.80/x
  3. Step 3: Cross multiply
    144,814.40x = 217,027.20 × 103,212.80
  4. Step 4: Simplify right side
    144,814.40x = 22,399,984,988.16
  5. Step 5: Solve for x
    x = 22,399,984,988.16/144,814.40
  6. Step 6: Final answer
    x = 154,680.65

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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.