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Finding the Fourth Proportional to 76,977.60, 107,506.20 and 76,977.60

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Solution

The fourth proportional to 76,977.60, 107,506.20 and 76,977.60 is: 107,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977.60 : 107,506.20 = 76,977.60 : x
  2. Step 2: Convert to fraction form
    76,977.60/107,506.20 = 76,977.60/x
  3. Step 3: Cross multiply
    76,977.60x = 107,506.20 × 76,977.60
  4. Step 4: Simplify right side
    76,977.60x = 8,275,569,261.12
  5. Step 5: Solve for x
    x = 8,275,569,261.12/76,977.60
  6. Step 6: Final answer
    x = 107,506.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.