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Finding the Fourth Proportional to 76,380.40, 114,586.80 and 23,074.30

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Solution

The fourth proportional to 76,380.40, 114,586.80 and 23,074.30 is: 34,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.40 : 114,586.80 = 23,074.30 : x
  2. Step 2: Convert to fraction form
    76,380.40/114,586.80 = 23,074.30/x
  3. Step 3: Cross multiply
    76,380.40x = 114,586.80 × 23,074.30
  4. Step 4: Simplify right side
    76,380.40x = 2,644,010,199.24
  5. Step 5: Solve for x
    x = 2,644,010,199.24/76,380.40
  6. Step 6: Final answer
    x = 34,616.34

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1.5x scale

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.