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Finding the Fourth Proportional to 76,854, 115,180.54 and 39,382.32

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Solution

The fourth proportional to 76,854, 115,180.54 and 39,382.32 is: 59,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854 : 115,180.54 = 39,382.32 : x
  2. Step 2: Convert to fraction form
    76,854/115,180.54 = 39,382.32/x
  3. Step 3: Cross multiply
    76,854x = 115,180.54 × 39,382.32
  4. Step 4: Simplify right side
    76,854x = 4,536,076,884.05
  5. Step 5: Solve for x
    x = 4,536,076,884.05/76,854
  6. Step 6: Final answer
    x = 59,022.00

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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.