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Finding the Fourth Proportional to 111,915, 167,872.50 and 38,043

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Solution

The fourth proportional to 111,915, 167,872.50 and 38,043 is: 57,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,915 : 167,872.50 = 38,043 : x
  2. Step 2: Convert to fraction form
    111,915/167,872.50 = 38,043/x
  3. Step 3: Cross multiply
    111,915x = 167,872.50 × 38,043
  4. Step 4: Simplify right side
    111,915x = 6,386,373,517.50
  5. Step 5: Solve for x
    x = 6,386,373,517.50/111,915
  6. Step 6: Final answer
    x = 57,064.50

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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.