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Finding the Fourth Proportional to 76,048.88, 114,073.31 and 20,644.88

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Solution

The fourth proportional to 76,048.88, 114,073.31 and 20,644.88 is: 30,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,048.88 : 114,073.31 = 20,644.88 : x
  2. Step 2: Convert to fraction form
    76,048.88/114,073.31 = 20,644.88/x
  3. Step 3: Cross multiply
    76,048.88x = 114,073.31 × 20,644.88
  4. Step 4: Simplify right side
    76,048.88x = 2,355,029,277.40
  5. Step 5: Solve for x
    x = 2,355,029,277.40/76,048.88
  6. Step 6: Final answer
    x = 30,967.31

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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.