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Finding the Fourth Proportional to 144,893.40, 217,404.90 and 69,984.60

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Solution

The fourth proportional to 144,893.40, 217,404.90 and 69,984.60 is: 105,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,893.40 : 217,404.90 = 69,984.60 : x
  2. Step 2: Convert to fraction form
    144,893.40/217,404.90 = 69,984.60/x
  3. Step 3: Cross multiply
    144,893.40x = 217,404.90 × 69,984.60
  4. Step 4: Simplify right side
    144,893.40x = 15,214,994,964.54
  5. Step 5: Solve for x
    x = 15,214,994,964.54/144,893.40
  6. Step 6: Final answer
    x = 105,008.20

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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.