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Finding the Fourth Proportional to 54,783.94, 75,611.12 and 31,810.20

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Solution

The fourth proportional to 54,783.94, 75,611.12 and 31,810.20 is: 43,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,783.94 : 75,611.12 = 31,810.20 : x
  2. Step 2: Convert to fraction form
    54,783.94/75,611.12 = 31,810.20/x
  3. Step 3: Cross multiply
    54,783.94x = 75,611.12 × 31,810.20
  4. Step 4: Simplify right side
    54,783.94x = 2,405,204,849.42
  5. Step 5: Solve for x
    x = 2,405,204,849.42/54,783.94
  6. Step 6: Final answer
    x = 43,903.47

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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.