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Finding the Fourth Proportional to 56,489.44, 77,956.15 and 30,994.19

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Solution

The fourth proportional to 56,489.44, 77,956.15 and 30,994.19 is: 42,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.44 : 77,956.15 = 30,994.19 : x
  2. Step 2: Convert to fraction form
    56,489.44/77,956.15 = 30,994.19/x
  3. Step 3: Cross multiply
    56,489.44x = 77,956.15 × 30,994.19
  4. Step 4: Simplify right side
    56,489.44x = 2,416,187,724.77
  5. Step 5: Solve for x
    x = 2,416,187,724.77/56,489.44
  6. Step 6: Final answer
    x = 42,772.38

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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.