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Finding the Fourth Proportional to 76,461.60, 114,368.40 and 68,620.80

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Solution

The fourth proportional to 76,461.60, 114,368.40 and 68,620.80 is: 102,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461.60 : 114,368.40 = 68,620.80 : x
  2. Step 2: Convert to fraction form
    76,461.60/114,368.40 = 68,620.80/x
  3. Step 3: Cross multiply
    76,461.60x = 114,368.40 × 68,620.80
  4. Step 4: Simplify right side
    76,461.60x = 7,848,051,102.72
  5. Step 5: Solve for x
    x = 7,848,051,102.72/76,461.60
  6. Step 6: Final answer
    x = 102,640.42

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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.