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Finding the Fourth Proportional to 142,872.48, 213,958.74 and 100,648.80

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Solution

The fourth proportional to 142,872.48, 213,958.74 and 100,648.80 is: 150,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,872.48 : 213,958.74 = 100,648.80 : x
  2. Step 2: Convert to fraction form
    142,872.48/213,958.74 = 100,648.80/x
  3. Step 3: Cross multiply
    142,872.48x = 213,958.74 × 100,648.80
  4. Step 4: Simplify right side
    142,872.48x = 21,534,690,430.51
  5. Step 5: Solve for x
    x = 21,534,690,430.51/142,872.48
  6. Step 6: Final answer
    x = 150,726.65

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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.