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Finding the Fourth Proportional to 76,228.70, 114,447.78 and 38,813.91

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Solution

The fourth proportional to 76,228.70, 114,447.78 and 38,813.91 is: 58,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,228.70 : 114,447.78 = 38,813.91 : x
  2. Step 2: Convert to fraction form
    76,228.70/114,447.78 = 38,813.91/x
  3. Step 3: Cross multiply
    76,228.70x = 114,447.78 × 38,813.91
  4. Step 4: Simplify right side
    76,228.70x = 4,442,165,638.55
  5. Step 5: Solve for x
    x = 4,442,165,638.55/76,228.70
  6. Step 6: Final answer
    x = 58,274.19

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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.