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Finding the Fourth Proportional to 144,810.40, 217,021.20 and 103,208.80

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Solution

The fourth proportional to 144,810.40, 217,021.20 and 103,208.80 is: 154,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,810.40 : 217,021.20 = 103,208.80 : x
  2. Step 2: Convert to fraction form
    144,810.40/217,021.20 = 103,208.80/x
  3. Step 3: Cross multiply
    144,810.40x = 217,021.20 × 103,208.80
  4. Step 4: Simplify right side
    144,810.40x = 22,398,497,626.56
  5. Step 5: Solve for x
    x = 22,398,497,626.56/144,810.40
  6. Step 6: Final answer
    x = 154,674.65

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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.