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Finding the Fourth Proportional to 77,971.80, 107,601.01 and 42,161.72

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Solution

The fourth proportional to 77,971.80, 107,601.01 and 42,161.72 is: 58,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.80 : 107,601.01 = 42,161.72 : x
  2. Step 2: Convert to fraction form
    77,971.80/107,601.01 = 42,161.72/x
  3. Step 3: Cross multiply
    77,971.80x = 107,601.01 × 42,161.72
  4. Step 4: Simplify right side
    77,971.80x = 4,536,643,818.94
  5. Step 5: Solve for x
    x = 4,536,643,818.94/77,971.80
  6. Step 6: Final answer
    x = 58,183.14

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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.