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Finding the Fourth Proportional to 135,162.96, 186,516.88 and 74,728.86

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Solution

The fourth proportional to 135,162.96, 186,516.88 and 74,728.86 is: 103,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,162.96 : 186,516.88 = 74,728.86 : x
  2. Step 2: Convert to fraction form
    135,162.96/186,516.88 = 74,728.86/x
  3. Step 3: Cross multiply
    135,162.96x = 186,516.88 × 74,728.86
  4. Step 4: Simplify right side
    135,162.96x = 13,938,193,813.16
  5. Step 5: Solve for x
    x = 13,938,193,813.16/135,162.96
  6. Step 6: Final answer
    x = 103,121.40

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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.