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Finding the Fourth Proportional to 144,651.45, 216,894.03 and 77,100.27

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Solution

The fourth proportional to 144,651.45, 216,894.03 and 77,100.27 is: 115,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651.45 : 216,894.03 = 77,100.27 : x
  2. Step 2: Convert to fraction form
    144,651.45/216,894.03 = 77,100.27/x
  3. Step 3: Cross multiply
    144,651.45x = 216,894.03 × 77,100.27
  4. Step 4: Simplify right side
    144,651.45x = 16,722,588,274.39
  5. Step 5: Solve for x
    x = 16,722,588,274.39/144,651.45
  6. Step 6: Final answer
    x = 115,606.09

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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.