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Finding the Fourth Proportional to 82,114.32, 113,335.90 and 53,383.97

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Solution

The fourth proportional to 82,114.32, 113,335.90 and 53,383.97 is: 73,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.32 : 113,335.90 = 53,383.97 : x
  2. Step 2: Convert to fraction form
    82,114.32/113,335.90 = 53,383.97/x
  3. Step 3: Cross multiply
    82,114.32x = 113,335.90 × 53,383.97
  4. Step 4: Simplify right side
    82,114.32x = 6,050,320,018.60
  5. Step 5: Solve for x
    x = 6,050,320,018.60/82,114.32
  6. Step 6: Final answer
    x = 73,681.67

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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.