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Finding the Fourth Proportional to 144,842.40, 217,263.60 and 100,605.60

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Solution

The fourth proportional to 144,842.40, 217,263.60 and 100,605.60 is: 150,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,842.40 : 217,263.60 = 100,605.60 : x
  2. Step 2: Convert to fraction form
    144,842.40/217,263.60 = 100,605.60/x
  3. Step 3: Cross multiply
    144,842.40x = 217,263.60 × 100,605.60
  4. Step 4: Simplify right side
    144,842.40x = 21,857,934,836.16
  5. Step 5: Solve for x
    x = 21,857,934,836.16/144,842.40
  6. Step 6: Final answer
    x = 150,908.40

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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.