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Finding the Fourth Proportional to 129,776.86, 194,664.93 and 31,280.86

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Solution

The fourth proportional to 129,776.86, 194,664.93 and 31,280.86 is: 46,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,776.86 : 194,664.93 = 31,280.86 : x
  2. Step 2: Convert to fraction form
    129,776.86/194,664.93 = 31,280.86/x
  3. Step 3: Cross multiply
    129,776.86x = 194,664.93 × 31,280.86
  4. Step 4: Simplify right side
    129,776.86x = 6,089,286,422.24
  5. Step 5: Solve for x
    x = 6,089,286,422.24/129,776.86
  6. Step 6: Final answer
    x = 46,921.20

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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.