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Finding the Fourth Proportional to 77,801.60, 116,702.40 and 76,635.20

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Solution

The fourth proportional to 77,801.60, 116,702.40 and 76,635.20 is: 114,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,801.60 : 116,702.40 = 76,635.20 : x
  2. Step 2: Convert to fraction form
    77,801.60/116,702.40 = 76,635.20/x
  3. Step 3: Cross multiply
    77,801.60x = 116,702.40 × 76,635.20
  4. Step 4: Simplify right side
    77,801.60x = 8,943,511,764.48
  5. Step 5: Solve for x
    x = 8,943,511,764.48/77,801.60
  6. Step 6: Final answer
    x = 114,952.80

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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.