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Finding the Fourth Proportional to 144,830.40, 217,051.20 and 103,228.80

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Solution

The fourth proportional to 144,830.40, 217,051.20 and 103,228.80 is: 154,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,830.40 : 217,051.20 = 103,228.80 : x
  2. Step 2: Convert to fraction form
    144,830.40/217,051.20 = 103,228.80/x
  3. Step 3: Cross multiply
    144,830.40x = 217,051.20 × 103,228.80
  4. Step 4: Simplify right side
    144,830.40x = 22,405,934,914.56
  5. Step 5: Solve for x
    x = 22,405,934,914.56/144,830.40
  6. Step 6: Final answer
    x = 154,704.64

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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.