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Finding the Fourth Proportional to 76,178.56, 114,266.60 and 20,774.56

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Solution

The fourth proportional to 76,178.56, 114,266.60 and 20,774.56 is: 31,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.56 : 114,266.60 = 20,774.56 : x
  2. Step 2: Convert to fraction form
    76,178.56/114,266.60 = 20,774.56/x
  3. Step 3: Cross multiply
    76,178.56x = 114,266.60 × 20,774.56
  4. Step 4: Simplify right side
    76,178.56x = 2,373,838,337.70
  5. Step 5: Solve for x
    x = 2,373,838,337.70/76,178.56
  6. Step 6: Final answer
    x = 31,161.50

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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.