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Finding the Fourth Proportional to 144,930.60, 217,127.10 and 82,415.40

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Solution

The fourth proportional to 144,930.60, 217,127.10 and 82,415.40 is: 123,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,930.60 : 217,127.10 = 82,415.40 : x
  2. Step 2: Convert to fraction form
    144,930.60/217,127.10 = 82,415.40/x
  3. Step 3: Cross multiply
    144,930.60x = 217,127.10 × 82,415.40
  4. Step 4: Simplify right side
    144,930.60x = 17,894,616,797.34
  5. Step 5: Solve for x
    x = 17,894,616,797.34/144,930.60
  6. Step 6: Final answer
    x = 123,470.25

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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.