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Finding the Fourth Proportional to 55,727.61, 83,607.84 and 20,659.11

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Solution

The fourth proportional to 55,727.61, 83,607.84 and 20,659.11 is: 30,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,727.61 : 83,607.84 = 20,659.11 : x
  2. Step 2: Convert to fraction form
    55,727.61/83,607.84 = 20,659.11/x
  3. Step 3: Cross multiply
    55,727.61x = 83,607.84 × 20,659.11
  4. Step 4: Simplify right side
    55,727.61x = 1,727,263,563.42
  5. Step 5: Solve for x
    x = 1,727,263,563.42/55,727.61
  6. Step 6: Final answer
    x = 30,994.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.