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Finding the Fourth Proportional to 76,965.60, 115,480.80 and 41,930.40

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Solution

The fourth proportional to 76,965.60, 115,480.80 and 41,930.40 is: 62,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.60 : 115,480.80 = 41,930.40 : x
  2. Step 2: Convert to fraction form
    76,965.60/115,480.80 = 41,930.40/x
  3. Step 3: Cross multiply
    76,965.60x = 115,480.80 × 41,930.40
  4. Step 4: Simplify right side
    76,965.60x = 4,842,156,136.32
  5. Step 5: Solve for x
    x = 4,842,156,136.32/76,965.60
  6. Step 6: Final answer
    x = 62,913.25

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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.