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Finding the Fourth Proportional to 82,961.31, 114,486.65 and 47,150.40

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Solution

The fourth proportional to 82,961.31, 114,486.65 and 47,150.40 is: 65,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,961.31 : 114,486.65 = 47,150.40 : x
  2. Step 2: Convert to fraction form
    82,961.31/114,486.65 = 47,150.40/x
  3. Step 3: Cross multiply
    82,961.31x = 114,486.65 × 47,150.40
  4. Step 4: Simplify right side
    82,961.31x = 5,398,091,106.41
  5. Step 5: Solve for x
    x = 5,398,091,106.41/82,961.31
  6. Step 6: Final answer
    x = 65,067.57

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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.