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Finding the Fourth Proportional to 129,938, 194,911.60 and 66,741.04

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Solution

The fourth proportional to 129,938, 194,911.60 and 66,741.04 is: 100,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,938 : 194,911.60 = 66,741.04 : x
  2. Step 2: Convert to fraction form
    129,938/194,911.60 = 66,741.04/x
  3. Step 3: Cross multiply
    129,938x = 194,911.60 × 66,741.04
  4. Step 4: Simplify right side
    129,938x = 13,008,602,892.06
  5. Step 5: Solve for x
    x = 13,008,602,892.06/129,938
  6. Step 6: Final answer
    x = 100,113.92

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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.