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Finding the Fourth Proportional to 208,668.56, 287,969.12 and 118,022.75

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Solution

The fourth proportional to 208,668.56, 287,969.12 and 118,022.75 is: 162,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,668.56 : 287,969.12 = 118,022.75 : x
  2. Step 2: Convert to fraction form
    208,668.56/287,969.12 = 118,022.75/x
  3. Step 3: Cross multiply
    208,668.56x = 287,969.12 × 118,022.75
  4. Step 4: Simplify right side
    208,668.56x = 33,986,906,803.96
  5. Step 5: Solve for x
    x = 33,986,906,803.96/208,668.56
  6. Step 6: Final answer
    x = 162,875.08

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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.