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Finding the Fourth Proportional to 208,992.80, 288,442.64 and 118,353.44

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Solution

The fourth proportional to 208,992.80, 288,442.64 and 118,353.44 is: 163,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,992.80 : 288,442.64 = 118,353.44 : x
  2. Step 2: Convert to fraction form
    208,992.80/288,442.64 = 118,353.44/x
  3. Step 3: Cross multiply
    208,992.80x = 288,442.64 × 118,353.44
  4. Step 4: Simplify right side
    208,992.80x = 34,138,178,686.68
  5. Step 5: Solve for x
    x = 34,138,178,686.68/208,992.80
  6. Step 6: Final answer
    x = 163,346.20

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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.