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Finding the Fourth Proportional to 77,568.70, 107,041.41 and 47,404.48

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Solution

The fourth proportional to 77,568.70, 107,041.41 and 47,404.48 is: 65,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568.70 : 107,041.41 = 47,404.48 : x
  2. Step 2: Convert to fraction form
    77,568.70/107,041.41 = 47,404.48/x
  3. Step 3: Cross multiply
    77,568.70x = 107,041.41 × 47,404.48
  4. Step 4: Simplify right side
    77,568.70x = 5,074,242,379.52
  5. Step 5: Solve for x
    x = 5,074,242,379.52/77,568.70
  6. Step 6: Final answer
    x = 65,416.11

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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.