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Finding the Fourth Proportional to 76,980, 115,473.36 and 24,393.36

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Solution

The fourth proportional to 76,980, 115,473.36 and 24,393.36 is: 36,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980 : 115,473.36 = 24,393.36 : x
  2. Step 2: Convert to fraction form
    76,980/115,473.36 = 24,393.36/x
  3. Step 3: Cross multiply
    76,980x = 115,473.36 × 24,393.36
  4. Step 4: Simplify right side
    76,980x = 2,816,783,240.89
  5. Step 5: Solve for x
    x = 2,816,783,240.89/76,980
  6. Step 6: Final answer
    x = 36,591.10

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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.