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Finding the Fourth Proportional to 100,813, 151,242.12 and 30,697.84

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Solution

The fourth proportional to 100,813, 151,242.12 and 30,697.84 is: 46,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,813 : 151,242.12 = 30,697.84 : x
  2. Step 2: Convert to fraction form
    100,813/151,242.12 = 30,697.84/x
  3. Step 3: Cross multiply
    100,813x = 151,242.12 × 30,697.84
  4. Step 4: Simplify right side
    100,813x = 4,642,806,401.02
  5. Step 5: Solve for x
    x = 4,642,806,401.02/100,813
  6. Step 6: Final answer
    x = 46,053.65

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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.