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Finding the Fourth Proportional to 76,187.86, 114,280.57 and 20,783.86

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Solution

The fourth proportional to 76,187.86, 114,280.57 and 20,783.86 is: 31,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.86 : 114,280.57 = 20,783.86 : x
  2. Step 2: Convert to fraction form
    76,187.86/114,280.57 = 20,783.86/x
  3. Step 3: Cross multiply
    76,187.86x = 114,280.57 × 20,783.86
  4. Step 4: Simplify right side
    76,187.86x = 2,375,191,107.88
  5. Step 5: Solve for x
    x = 2,375,191,107.88/76,187.86
  6. Step 6: Final answer
    x = 31,175.45

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1.5x scale

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.