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Finding the Fourth Proportional to 77,849.43, 107,458.74 and 48,404.20

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Solution

The fourth proportional to 77,849.43, 107,458.74 and 48,404.20 is: 66,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,849.43 : 107,458.74 = 48,404.20 : x
  2. Step 2: Convert to fraction form
    77,849.43/107,458.74 = 48,404.20/x
  3. Step 3: Cross multiply
    77,849.43x = 107,458.74 × 48,404.20
  4. Step 4: Simplify right side
    77,849.43x = 5,201,454,100.69
  5. Step 5: Solve for x
    x = 5,201,454,100.69/77,849.43
  6. Step 6: Final answer
    x = 66,814.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.