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Finding the Fourth Proportional to 208,378.85, 287,548.54 and 117,738.63

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Solution

The fourth proportional to 208,378.85, 287,548.54 and 117,738.63 is: 162,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,378.85 : 287,548.54 = 117,738.63 : x
  2. Step 2: Convert to fraction form
    208,378.85/287,548.54 = 117,738.63/x
  3. Step 3: Cross multiply
    208,378.85x = 287,548.54 × 117,738.63
  4. Step 4: Simplify right side
    208,378.85x = 33,855,570,863.75
  5. Step 5: Solve for x
    x = 33,855,570,863.75/208,378.85
  6. Step 6: Final answer
    x = 162,471.25

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1.5x scale

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.