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Finding the Fourth Proportional to 208,867.82, 288,251.80 and 118,223.42

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Solution

The fourth proportional to 208,867.82, 288,251.80 and 118,223.42 is: 163,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,867.82 : 288,251.80 = 118,223.42 : x
  2. Step 2: Convert to fraction form
    208,867.82/288,251.80 = 118,223.42/x
  3. Step 3: Cross multiply
    208,867.82x = 288,251.80 × 118,223.42
  4. Step 4: Simplify right side
    208,867.82x = 34,078,111,880.34
  5. Step 5: Solve for x
    x = 34,078,111,880.34/208,867.82
  6. Step 6: Final answer
    x = 163,156.36

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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.