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Finding the Fourth Proportional to 76,526.54, 114,789.62 and 20,366.63

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Solution

The fourth proportional to 76,526.54, 114,789.62 and 20,366.63 is: 30,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,526.54 : 114,789.62 = 20,366.63 : x
  2. Step 2: Convert to fraction form
    76,526.54/114,789.62 = 20,366.63/x
  3. Step 3: Cross multiply
    76,526.54x = 114,789.62 × 20,366.63
  4. Step 4: Simplify right side
    76,526.54x = 2,337,877,195.35
  5. Step 5: Solve for x
    x = 2,337,877,195.35/76,526.54
  6. Step 6: Final answer
    x = 30,549.89

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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.