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Finding the Fourth Proportional to 208,687.28, 287,986.20 and 118,041.80

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Solution

The fourth proportional to 208,687.28, 287,986.20 and 118,041.80 is: 162,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,687.28 : 287,986.20 = 118,041.80 : x
  2. Step 2: Convert to fraction form
    208,687.28/287,986.20 = 118,041.80/x
  3. Step 3: Cross multiply
    208,687.28x = 287,986.20 × 118,041.80
  4. Step 4: Simplify right side
    208,687.28x = 33,994,409,423.16
  5. Step 5: Solve for x
    x = 33,994,409,423.16/208,687.28
  6. Step 6: Final answer
    x = 162,896.41

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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.