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Finding the Fourth Proportional to 81,885.28, 112,984.72 and 47,887.16

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Solution

The fourth proportional to 81,885.28, 112,984.72 and 47,887.16 is: 66,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885.28 : 112,984.72 = 47,887.16 : x
  2. Step 2: Convert to fraction form
    81,885.28/112,984.72 = 47,887.16/x
  3. Step 3: Cross multiply
    81,885.28x = 112,984.72 × 47,887.16
  4. Step 4: Simplify right side
    81,885.28x = 5,410,517,364.20
  5. Step 5: Solve for x
    x = 5,410,517,364.20/81,885.28
  6. Step 6: Final answer
    x = 66,074.36

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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.