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Finding the Fourth Proportional to 144,811.40, 217,022.70 and 103,209.80

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Solution

The fourth proportional to 144,811.40, 217,022.70 and 103,209.80 is: 154,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,811.40 : 217,022.70 = 103,209.80 : x
  2. Step 2: Convert to fraction form
    144,811.40/217,022.70 = 103,209.80/x
  3. Step 3: Cross multiply
    144,811.40x = 217,022.70 × 103,209.80
  4. Step 4: Simplify right side
    144,811.40x = 22,398,869,462.46
  5. Step 5: Solve for x
    x = 22,398,869,462.46/144,811.40
  6. Step 6: Final answer
    x = 154,676.15

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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.