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Finding the Fourth Proportional to 198,138, 273,430.41 and 113,256.89

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Solution

The fourth proportional to 198,138, 273,430.41 and 113,256.89 is: 156,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,138 : 273,430.41 = 113,256.89 : x
  2. Step 2: Convert to fraction form
    198,138/273,430.41 = 113,256.89/x
  3. Step 3: Cross multiply
    198,138x = 273,430.41 × 113,256.89
  4. Step 4: Simplify right side
    198,138x = 30,967,877,868.02
  5. Step 5: Solve for x
    x = 30,967,877,868.02/198,138
  6. Step 6: Final answer
    x = 156,294.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.