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Finding the Fourth Proportional to 129,495.67, 194,243.22 and 40,756.93

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Solution

The fourth proportional to 129,495.67, 194,243.22 and 40,756.93 is: 61,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,495.67 : 194,243.22 = 40,756.93 : x
  2. Step 2: Convert to fraction form
    129,495.67/194,243.22 = 40,756.93/x
  3. Step 3: Cross multiply
    129,495.67x = 194,243.22 × 40,756.93
  4. Step 4: Simplify right side
    129,495.67x = 7,916,756,349.30
  5. Step 5: Solve for x
    x = 7,916,756,349.30/129,495.67
  6. Step 6: Final answer
    x = 61,135.30

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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.