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Finding the Fourth Proportional to 208,252.64, 287,173.84 and 178,137.64

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Solution

The fourth proportional to 208,252.64, 287,173.84 and 178,137.64 is: 245,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,252.64 : 287,173.84 = 178,137.64 : x
  2. Step 2: Convert to fraction form
    208,252.64/287,173.84 = 178,137.64/x
  3. Step 3: Cross multiply
    208,252.64x = 287,173.84 × 178,137.64
  4. Step 4: Simplify right side
    208,252.64x = 51,156,470,127.34
  5. Step 5: Solve for x
    x = 51,156,470,127.34/208,252.64
  6. Step 6: Final answer
    x = 245,646.20

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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.