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Finding the Fourth Proportional to 142,872.45, 213,958.74 and 100,648.77

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Solution

The fourth proportional to 142,872.45, 213,958.74 and 100,648.77 is: 150,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,872.45 : 213,958.74 = 100,648.77 : x
  2. Step 2: Convert to fraction form
    142,872.45/213,958.74 = 100,648.77/x
  3. Step 3: Cross multiply
    142,872.45x = 213,958.74 × 100,648.77
  4. Step 4: Simplify right side
    142,872.45x = 21,534,684,011.75
  5. Step 5: Solve for x
    x = 21,534,684,011.75/142,872.45
  6. Step 6: Final answer
    x = 150,726.64

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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.