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Finding the Fourth Proportional to 188,215.30, 280,969.11 and 161,271.16

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Solution

The fourth proportional to 188,215.30, 280,969.11 and 161,271.16 is: 240,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,215.30 : 280,969.11 = 161,271.16 : x
  2. Step 2: Convert to fraction form
    188,215.30/280,969.11 = 161,271.16/x
  3. Step 3: Cross multiply
    188,215.30x = 280,969.11 × 161,271.16
  4. Step 4: Simplify right side
    188,215.30x = 45,312,214,293.87
  5. Step 5: Solve for x
    x = 45,312,214,293.87/188,215.30
  6. Step 6: Final answer
    x = 240,746.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.