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Finding the Fourth Proportional to 208,591.68, 287,838.72 and 117,943.20

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Solution

The fourth proportional to 208,591.68, 287,838.72 and 117,943.20 is: 162,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.68 : 287,838.72 = 117,943.20 : x
  2. Step 2: Convert to fraction form
    208,591.68/287,838.72 = 117,943.20/x
  3. Step 3: Cross multiply
    208,591.68x = 287,838.72 × 117,943.20
  4. Step 4: Simplify right side
    208,591.68x = 33,948,619,720.70
  5. Step 5: Solve for x
    x = 33,948,619,720.70/208,591.68
  6. Step 6: Final answer
    x = 162,751.55

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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.