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Finding the Fourth Proportional to 198,501, 273,931.40 and 109,077

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Solution

The fourth proportional to 198,501, 273,931.40 and 109,077 is: 150,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,501 : 273,931.40 = 109,077 : x
  2. Step 2: Convert to fraction form
    198,501/273,931.40 = 109,077/x
  3. Step 3: Cross multiply
    198,501x = 273,931.40 × 109,077
  4. Step 4: Simplify right side
    198,501x = 29,879,615,317.80
  5. Step 5: Solve for x
    x = 29,879,615,317.80/198,501
  6. Step 6: Final answer
    x = 150,526.27

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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.