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Finding the Fourth Proportional to 144,865.00, 217,359.94 and 78,351.96

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Solution

The fourth proportional to 144,865.00, 217,359.94 and 78,351.96 is: 117,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,865.00 : 217,359.94 = 78,351.96 : x
  2. Step 2: Convert to fraction form
    144,865.00/217,359.94 = 78,351.96/x
  3. Step 3: Cross multiply
    144,865.00x = 217,359.94 × 78,351.96
  4. Step 4: Simplify right side
    144,865.00x = 17,030,576,587.19
  5. Step 5: Solve for x
    x = 17,030,576,587.19/144,865.00
  6. Step 6: Final answer
    x = 117,561.70

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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.