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Finding the Fourth Proportional to 85,368.82, 117,820.84 and 47,645.50

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Solution

The fourth proportional to 85,368.82, 117,820.84 and 47,645.50 is: 65,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,368.82 : 117,820.84 = 47,645.50 : x
  2. Step 2: Convert to fraction form
    85,368.82/117,820.84 = 47,645.50/x
  3. Step 3: Cross multiply
    85,368.82x = 117,820.84 × 47,645.50
  4. Step 4: Simplify right side
    85,368.82x = 5,613,632,832.22
  5. Step 5: Solve for x
    x = 5,613,632,832.22/85,368.82
  6. Step 6: Final answer
    x = 65,757.41

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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.