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Finding the Fourth Proportional to 144,866.12, 217,358.96 and 78,227.77

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Solution

The fourth proportional to 144,866.12, 217,358.96 and 78,227.77 is: 117,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,866.12 : 217,358.96 = 78,227.77 : x
  2. Step 2: Convert to fraction form
    144,866.12/217,358.96 = 78,227.77/x
  3. Step 3: Cross multiply
    144,866.12x = 217,358.96 × 78,227.77
  4. Step 4: Simplify right side
    144,866.12x = 17,003,505,795.78
  5. Step 5: Solve for x
    x = 17,003,505,795.78/144,866.12
  6. Step 6: Final answer
    x = 117,373.93

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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.