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Finding the Fourth Proportional to 208,125.58, 287,268.80 and 117,534.57

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Solution

The fourth proportional to 208,125.58, 287,268.80 and 117,534.57 is: 162,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,125.58 : 287,268.80 = 117,534.57 : x
  2. Step 2: Convert to fraction form
    208,125.58/287,268.80 = 117,534.57/x
  3. Step 3: Cross multiply
    208,125.58x = 287,268.80 × 117,534.57
  4. Step 4: Simplify right side
    208,125.58x = 33,764,015,017.13
  5. Step 5: Solve for x
    x = 33,764,015,017.13/208,125.58
  6. Step 6: Final answer
    x = 162,229.05

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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.