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Finding the Fourth Proportional to 208,858.10, 288,200.16 and 116,964.54

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Solution

The fourth proportional to 208,858.10, 288,200.16 and 116,964.54 is: 161,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.10 : 288,200.16 = 116,964.54 : x
  2. Step 2: Convert to fraction form
    208,858.10/288,200.16 = 116,964.54/x
  3. Step 3: Cross multiply
    208,858.10x = 288,200.16 × 116,964.54
  4. Step 4: Simplify right side
    208,858.10x = 33,709,199,142.33
  5. Step 5: Solve for x
    x = 33,709,199,142.33/208,858.10
  6. Step 6: Final answer
    x = 161,397.62

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1.5x scale

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.