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Finding the Fourth Proportional to 100,700.22, 151,050.32 and 47,949.78

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Solution

The fourth proportional to 100,700.22, 151,050.32 and 47,949.78 is: 71,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.22 : 151,050.32 = 47,949.78 : x
  2. Step 2: Convert to fraction form
    100,700.22/151,050.32 = 47,949.78/x
  3. Step 3: Cross multiply
    100,700.22x = 151,050.32 × 47,949.78
  4. Step 4: Simplify right side
    100,700.22x = 7,242,828,857.68
  5. Step 5: Solve for x
    x = 7,242,828,857.68/100,700.22
  6. Step 6: Final answer
    x = 71,924.66

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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.