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Finding the Fourth Proportional to 76,308.63, 114,461.20 and 20,152.70

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Solution

The fourth proportional to 76,308.63, 114,461.20 and 20,152.70 is: 30,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308.63 : 114,461.20 = 20,152.70 : x
  2. Step 2: Convert to fraction form
    76,308.63/114,461.20 = 20,152.70/x
  3. Step 3: Cross multiply
    76,308.63x = 114,461.20 × 20,152.70
  4. Step 4: Simplify right side
    76,308.63x = 2,306,702,107.35
  5. Step 5: Solve for x
    x = 2,306,702,107.35/76,308.63
  6. Step 6: Final answer
    x = 30,228.59

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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.