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Finding the Fourth Proportional to 76,693.20, 114,908.40 and 60,946.80

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Solution

The fourth proportional to 76,693.20, 114,908.40 and 60,946.80 is: 91,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.20 : 114,908.40 = 60,946.80 : x
  2. Step 2: Convert to fraction form
    76,693.20/114,908.40 = 60,946.80/x
  3. Step 3: Cross multiply
    76,693.20x = 114,908.40 × 60,946.80
  4. Step 4: Simplify right side
    76,693.20x = 7,003,299,273.12
  5. Step 5: Solve for x
    x = 7,003,299,273.12/76,693.20
  6. Step 6: Final answer
    x = 91,315.78

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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.