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Finding the Fourth Proportional to 265,081.96, 397,609.98 and 98,857

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Solution

The fourth proportional to 265,081.96, 397,609.98 and 98,857 is: 148,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,081.96 : 397,609.98 = 98,857 : x
  2. Step 2: Convert to fraction form
    265,081.96/397,609.98 = 98,857/x
  3. Step 3: Cross multiply
    265,081.96x = 397,609.98 × 98,857
  4. Step 4: Simplify right side
    265,081.96x = 39,306,529,792.86
  5. Step 5: Solve for x
    x = 39,306,529,792.86/265,081.96
  6. Step 6: Final answer
    x = 148,280.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.