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Finding the Fourth Proportional to 201,689.60, 278,268.77 and 114,460.25

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Solution

The fourth proportional to 201,689.60, 278,268.77 and 114,460.25 is: 157,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,689.60 : 278,268.77 = 114,460.25 : x
  2. Step 2: Convert to fraction form
    201,689.60/278,268.77 = 114,460.25/x
  3. Step 3: Cross multiply
    201,689.60x = 278,268.77 × 114,460.25
  4. Step 4: Simplify right side
    201,689.60x = 31,850,711,876.20
  5. Step 5: Solve for x
    x = 31,850,711,876.20/201,689.60
  6. Step 6: Final answer
    x = 157,919.46

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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.