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Finding the Fourth Proportional to 208,398, 287,589.36 and 112,905.36

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Solution

The fourth proportional to 208,398, 287,589.36 and 112,905.36 is: 155,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,398 : 287,589.36 = 112,905.36 : x
  2. Step 2: Convert to fraction form
    208,398/287,589.36 = 112,905.36/x
  3. Step 3: Cross multiply
    208,398x = 287,589.36 × 112,905.36
  4. Step 4: Simplify right side
    208,398x = 32,470,380,222.97
  5. Step 5: Solve for x
    x = 32,470,380,222.97/208,398
  6. Step 6: Final answer
    x = 155,809.46

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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.