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Finding the Fourth Proportional to 55,015.50, 75,922.31 and 29,865

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Solution

The fourth proportional to 55,015.50, 75,922.31 and 29,865 is: 41,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,015.50 : 75,922.31 = 29,865 : x
  2. Step 2: Convert to fraction form
    55,015.50/75,922.31 = 29,865/x
  3. Step 3: Cross multiply
    55,015.50x = 75,922.31 × 29,865
  4. Step 4: Simplify right side
    55,015.50x = 2,267,419,638.83
  5. Step 5: Solve for x
    x = 2,267,419,638.83/55,015.50
  6. Step 6: Final answer
    x = 41,214.20

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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.