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Finding the Fourth Proportional to 100,800, 150,830.91 and 95,392.71

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Solution

The fourth proportional to 100,800, 150,830.91 and 95,392.71 is: 142,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,800 : 150,830.91 = 95,392.71 : x
  2. Step 2: Convert to fraction form
    100,800/150,830.91 = 95,392.71/x
  3. Step 3: Cross multiply
    100,800x = 150,830.91 × 95,392.71
  4. Step 4: Simplify right side
    100,800x = 14,388,169,256.67
  5. Step 5: Solve for x
    x = 14,388,169,256.67/100,800
  6. Step 6: Final answer
    x = 142,739.77

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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.