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Finding the Fourth Proportional to 208,656, 287,960.16 and 118,012.80

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Solution

The fourth proportional to 208,656, 287,960.16 and 118,012.80 is: 162,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656 : 287,960.16 = 118,012.80 : x
  2. Step 2: Convert to fraction form
    208,656/287,960.16 = 118,012.80/x
  3. Step 3: Cross multiply
    208,656x = 287,960.16 × 118,012.80
  4. Step 4: Simplify right side
    208,656x = 33,982,984,770.05
  5. Step 5: Solve for x
    x = 33,982,984,770.05/208,656
  6. Step 6: Final answer
    x = 162,866.08

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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.