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Finding the Fourth Proportional to 144,865.56, 217,305.60 and 51,378.60

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Solution

The fourth proportional to 144,865.56, 217,305.60 and 51,378.60 is: 77,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,865.56 : 217,305.60 = 51,378.60 : x
  2. Step 2: Convert to fraction form
    144,865.56/217,305.60 = 51,378.60/x
  3. Step 3: Cross multiply
    144,865.56x = 217,305.60 × 51,378.60
  4. Step 4: Simplify right side
    144,865.56x = 11,164,857,500.16
  5. Step 5: Solve for x
    x = 11,164,857,500.16/144,865.56
  6. Step 6: Final answer
    x = 77,070.47

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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.