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Finding the Fourth Proportional to 77,971.88, 107,601.12 and 42,161.80

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Solution

The fourth proportional to 77,971.88, 107,601.12 and 42,161.80 is: 58,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.88 : 107,601.12 = 42,161.80 : x
  2. Step 2: Convert to fraction form
    77,971.88/107,601.12 = 42,161.80/x
  3. Step 3: Cross multiply
    77,971.88x = 107,601.12 × 42,161.80
  4. Step 4: Simplify right side
    77,971.88x = 4,536,656,901.22
  5. Step 5: Solve for x
    x = 4,536,656,901.22/77,971.88
  6. Step 6: Final answer
    x = 58,183.24

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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.