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Finding the Fourth Proportional to 209,806.81, 314,841.43 and 85,147.81

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Solution

The fourth proportional to 209,806.81, 314,841.43 and 85,147.81 is: 127,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,806.81 : 314,841.43 = 85,147.81 : x
  2. Step 2: Convert to fraction form
    209,806.81/314,841.43 = 85,147.81/x
  3. Step 3: Cross multiply
    209,806.81x = 314,841.43 × 85,147.81
  4. Step 4: Simplify right side
    209,806.81x = 26,808,057,581.10
  5. Step 5: Solve for x
    x = 26,808,057,581.10/209,806.81
  6. Step 6: Final answer
    x = 127,774.97

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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.