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Finding the Fourth Proportional to 111,938.60, 167,907.90 and 76,509.20

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Solution

The fourth proportional to 111,938.60, 167,907.90 and 76,509.20 is: 114,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,938.60 : 167,907.90 = 76,509.20 : x
  2. Step 2: Convert to fraction form
    111,938.60/167,907.90 = 76,509.20/x
  3. Step 3: Cross multiply
    111,938.60x = 167,907.90 × 76,509.20
  4. Step 4: Simplify right side
    111,938.60x = 12,846,499,102.68
  5. Step 5: Solve for x
    x = 12,846,499,102.68/111,938.60
  6. Step 6: Final answer
    x = 114,763.80

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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.