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Finding the Fourth Proportional to 218,459.29, 327,726.29 and 100,140.77

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Solution

The fourth proportional to 218,459.29, 327,726.29 and 100,140.77 is: 150,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,459.29 : 327,726.29 = 100,140.77 : x
  2. Step 2: Convert to fraction form
    218,459.29/327,726.29 = 100,140.77/x
  3. Step 3: Cross multiply
    218,459.29x = 327,726.29 × 100,140.77
  4. Step 4: Simplify right side
    218,459.29x = 32,818,763,029.84
  5. Step 5: Solve for x
    x = 32,818,763,029.84/218,459.29
  6. Step 6: Final answer
    x = 150,228.28

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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.