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Finding the Fourth Proportional to 100,637, 150,960.63 and 25,757.77

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Solution

The fourth proportional to 100,637, 150,960.63 and 25,757.77 is: 38,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,637 : 150,960.63 = 25,757.77 : x
  2. Step 2: Convert to fraction form
    100,637/150,960.63 = 25,757.77/x
  3. Step 3: Cross multiply
    100,637x = 150,960.63 × 25,757.77
  4. Step 4: Simplify right side
    100,637x = 3,888,409,186.60
  5. Step 5: Solve for x
    x = 3,888,409,186.60/100,637
  6. Step 6: Final answer
    x = 38,637.97

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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.