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Finding the Fourth Proportional to 91,938, 137,940.21 and 45,223.68

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Solution

The fourth proportional to 91,938, 137,940.21 and 45,223.68 is: 67,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,938 : 137,940.21 = 45,223.68 : x
  2. Step 2: Convert to fraction form
    91,938/137,940.21 = 45,223.68/x
  3. Step 3: Cross multiply
    91,938x = 137,940.21 × 45,223.68
  4. Step 4: Simplify right side
    91,938x = 6,238,163,916.17
  5. Step 5: Solve for x
    x = 6,238,163,916.17/91,938
  6. Step 6: Final answer
    x = 67,851.86

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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.