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Finding the Fourth Proportional to 82,065.60, 113,263.74 and 61,945.20

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Solution

The fourth proportional to 82,065.60, 113,263.74 and 61,945.20 is: 85,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065.60 : 113,263.74 = 61,945.20 : x
  2. Step 2: Convert to fraction form
    82,065.60/113,263.74 = 61,945.20/x
  3. Step 3: Cross multiply
    82,065.60x = 113,263.74 × 61,945.20
  4. Step 4: Simplify right side
    82,065.60x = 7,016,145,027.05
  5. Step 5: Solve for x
    x = 7,016,145,027.05/82,065.60
  6. Step 6: Final answer
    x = 85,494.35

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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.