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Finding the Fourth Proportional to 208,392, 287,586.84 and 117,751.80

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Solution

The fourth proportional to 208,392, 287,586.84 and 117,751.80 is: 162,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,392 : 287,586.84 = 117,751.80 : x
  2. Step 2: Convert to fraction form
    208,392/287,586.84 = 117,751.80/x
  3. Step 3: Cross multiply
    208,392x = 287,586.84 × 117,751.80
  4. Step 4: Simplify right side
    208,392x = 33,863,868,066.31
  5. Step 5: Solve for x
    x = 33,863,868,066.31/208,392
  6. Step 6: Final answer
    x = 162,500.81

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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.