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Finding the Fourth Proportional to 76,261.50, 114,393.06 and 20,857.50

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Solution

The fourth proportional to 76,261.50, 114,393.06 and 20,857.50 is: 31,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,261.50 : 114,393.06 = 20,857.50 : x
  2. Step 2: Convert to fraction form
    76,261.50/114,393.06 = 20,857.50/x
  3. Step 3: Cross multiply
    76,261.50x = 114,393.06 × 20,857.50
  4. Step 4: Simplify right side
    76,261.50x = 2,385,953,248.95
  5. Step 5: Solve for x
    x = 2,385,953,248.95/76,261.50
  6. Step 6: Final answer
    x = 31,286.47

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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.