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Finding the Fourth Proportional to 66,888, 100,378.08 and 23,112

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Solution

The fourth proportional to 66,888, 100,378.08 and 23,112 is: 34,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,888 : 100,378.08 = 23,112 : x
  2. Step 2: Convert to fraction form
    66,888/100,378.08 = 23,112/x
  3. Step 3: Cross multiply
    66,888x = 100,378.08 × 23,112
  4. Step 4: Simplify right side
    66,888x = 2,319,938,184.96
  5. Step 5: Solve for x
    x = 2,319,938,184.96/66,888
  6. Step 6: Final answer
    x = 34,683.92

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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.