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Finding the Fourth Proportional to 76,384.94, 114,581.78 and 20,223.58

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Solution

The fourth proportional to 76,384.94, 114,581.78 and 20,223.58 is: 30,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384.94 : 114,581.78 = 20,223.58 : x
  2. Step 2: Convert to fraction form
    76,384.94/114,581.78 = 20,223.58/x
  3. Step 3: Cross multiply
    76,384.94x = 114,581.78 × 20,223.58
  4. Step 4: Simplify right side
    76,384.94x = 2,317,254,257.89
  5. Step 5: Solve for x
    x = 2,317,254,257.89/76,384.94
  6. Step 6: Final answer
    x = 30,336.53

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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.