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Finding the Fourth Proportional to 82,188.63, 113,419.20 and 45,890.64

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Solution

The fourth proportional to 82,188.63, 113,419.20 and 45,890.64 is: 63,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,188.63 : 113,419.20 = 45,890.64 : x
  2. Step 2: Convert to fraction form
    82,188.63/113,419.20 = 45,890.64/x
  3. Step 3: Cross multiply
    82,188.63x = 113,419.20 × 45,890.64
  4. Step 4: Simplify right side
    82,188.63x = 5,204,879,676.29
  5. Step 5: Solve for x
    x = 5,204,879,676.29/82,188.63
  6. Step 6: Final answer
    x = 63,328.46

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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.