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Finding the Fourth Proportional to 144,838.72, 199,668 and 101,686.96

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Solution

The fourth proportional to 144,838.72, 199,668 and 101,686.96 is: 140,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,838.72 : 199,668 = 101,686.96 : x
  2. Step 2: Convert to fraction form
    144,838.72/199,668 = 101,686.96/x
  3. Step 3: Cross multiply
    144,838.72x = 199,668 × 101,686.96
  4. Step 4: Simplify right side
    144,838.72x = 20,303,631,929.28
  5. Step 5: Solve for x
    x = 20,303,631,929.28/144,838.72
  6. Step 6: Final answer
    x = 140,180.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.