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Finding the Fourth Proportional to 208,440, 287,884.80 and 141,255.36

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Solution

The fourth proportional to 208,440, 287,884.80 and 141,255.36 is: 195,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,440 : 287,884.80 = 141,255.36 : x
  2. Step 2: Convert to fraction form
    208,440/287,884.80 = 141,255.36/x
  3. Step 3: Cross multiply
    208,440x = 287,884.80 × 141,255.36
  4. Step 4: Simplify right side
    208,440x = 40,665,271,062.53
  5. Step 5: Solve for x
    x = 40,665,271,062.53/208,440
  6. Step 6: Final answer
    x = 195,093.41

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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.