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Finding the Fourth Proportional to 210,640.66, 315,929.83 and 77,489.77

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Solution

The fourth proportional to 210,640.66, 315,929.83 and 77,489.77 is: 116,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,640.66 : 315,929.83 = 77,489.77 : x
  2. Step 2: Convert to fraction form
    210,640.66/315,929.83 = 77,489.77/x
  3. Step 3: Cross multiply
    210,640.66x = 315,929.83 × 77,489.77
  4. Step 4: Simplify right side
    210,640.66x = 24,481,329,475.39
  5. Step 5: Solve for x
    x = 24,481,329,475.39/210,640.66
  6. Step 6: Final answer
    x = 116,223.19

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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.