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Finding the Fourth Proportional to 77,652.89, 116,456.81 and 30,257.42

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Solution

The fourth proportional to 77,652.89, 116,456.81 and 30,257.42 is: 45,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652.89 : 116,456.81 = 30,257.42 : x
  2. Step 2: Convert to fraction form
    77,652.89/116,456.81 = 30,257.42/x
  3. Step 3: Cross multiply
    77,652.89x = 116,456.81 × 30,257.42
  4. Step 4: Simplify right side
    77,652.89x = 3,523,682,133.76
  5. Step 5: Solve for x
    x = 3,523,682,133.76/77,652.89
  6. Step 6: Final answer
    x = 45,377.35

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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.