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Finding the Fourth Proportional to 120,690.40, 181,040.46 and 57,478

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Solution

The fourth proportional to 120,690.40, 181,040.46 and 57,478 is: 86,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,690.40 : 181,040.46 = 57,478 : x
  2. Step 2: Convert to fraction form
    120,690.40/181,040.46 = 57,478/x
  3. Step 3: Cross multiply
    120,690.40x = 181,040.46 × 57,478
  4. Step 4: Simplify right side
    120,690.40x = 10,405,843,559.88
  5. Step 5: Solve for x
    x = 10,405,843,559.88/120,690.40
  6. Step 6: Final answer
    x = 86,219.31

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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.