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Finding the Fourth Proportional to 77,702.46, 116,540.79 and 21,548.34

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Solution

The fourth proportional to 77,702.46, 116,540.79 and 21,548.34 is: 32,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702.46 : 116,540.79 = 21,548.34 : x
  2. Step 2: Convert to fraction form
    77,702.46/116,540.79 = 21,548.34/x
  3. Step 3: Cross multiply
    77,702.46x = 116,540.79 × 21,548.34
  4. Step 4: Simplify right side
    77,702.46x = 2,511,260,566.79
  5. Step 5: Solve for x
    x = 2,511,260,566.79/77,702.46
  6. Step 6: Final answer
    x = 32,318.93

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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.