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Finding the Fourth Proportional to 77,677.98, 107,213.31 and 54,993.39

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Solution

The fourth proportional to 77,677.98, 107,213.31 and 54,993.39 is: 75,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,677.98 : 107,213.31 = 54,993.39 : x
  2. Step 2: Convert to fraction form
    77,677.98/107,213.31 = 54,993.39/x
  3. Step 3: Cross multiply
    77,677.98x = 107,213.31 × 54,993.39
  4. Step 4: Simplify right side
    77,677.98x = 5,896,023,370.02
  5. Step 5: Solve for x
    x = 5,896,023,370.02/77,677.98
  6. Step 6: Final answer
    x = 75,903.41

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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.