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Finding the Fourth Proportional to 114,986.50, 172,479.75 and 31,880.50

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Solution

The fourth proportional to 114,986.50, 172,479.75 and 31,880.50 is: 47,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,986.50 : 172,479.75 = 31,880.50 : x
  2. Step 2: Convert to fraction form
    114,986.50/172,479.75 = 31,880.50/x
  3. Step 3: Cross multiply
    114,986.50x = 172,479.75 × 31,880.50
  4. Step 4: Simplify right side
    114,986.50x = 5,498,740,669.88
  5. Step 5: Solve for x
    x = 5,498,740,669.88/114,986.50
  6. Step 6: Final answer
    x = 47,820.75

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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.