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Finding the Fourth Proportional to 76,432, 114,664.32 and 29,684.80

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Solution

The fourth proportional to 76,432, 114,664.32 and 29,684.80 is: 44,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432 : 114,664.32 = 29,684.80 : x
  2. Step 2: Convert to fraction form
    76,432/114,664.32 = 29,684.80/x
  3. Step 3: Cross multiply
    76,432x = 114,664.32 × 29,684.80
  4. Step 4: Simplify right side
    76,432x = 3,403,787,406.34
  5. Step 5: Solve for x
    x = 3,403,787,406.34/76,432
  6. Step 6: Final answer
    x = 44,533.54

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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.