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Finding the Fourth Proportional to 100,799.92, 151,199.88 and 30,678.67

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Solution

The fourth proportional to 100,799.92, 151,199.88 and 30,678.67 is: 46,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,799.92 : 151,199.88 = 30,678.67 : x
  2. Step 2: Convert to fraction form
    100,799.92/151,199.88 = 30,678.67/x
  3. Step 3: Cross multiply
    100,799.92x = 151,199.88 × 30,678.67
  4. Step 4: Simplify right side
    100,799.92x = 4,638,611,222.56
  5. Step 5: Solve for x
    x = 4,638,611,222.56/100,799.92
  6. Step 6: Final answer
    x = 46,018.01

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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.