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Finding the Fourth Proportional to 142,859.70, 213,939.63 and 100,636.02

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Solution

The fourth proportional to 142,859.70, 213,939.63 and 100,636.02 is: 150,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,859.70 : 213,939.63 = 100,636.02 : x
  2. Step 2: Convert to fraction form
    142,859.70/213,939.63 = 100,636.02/x
  3. Step 3: Cross multiply
    142,859.70x = 213,939.63 × 100,636.02
  4. Step 4: Simplify right side
    142,859.70x = 21,530,032,883.47
  5. Step 5: Solve for x
    x = 21,530,032,883.47/142,859.70
  6. Step 6: Final answer
    x = 150,707.53

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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.