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Finding the Fourth Proportional to 85,361.16, 117,801.36 and 47,642.52

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Solution

The fourth proportional to 85,361.16, 117,801.36 and 47,642.52 is: 65,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,361.16 : 117,801.36 = 47,642.52 : x
  2. Step 2: Convert to fraction form
    85,361.16/117,801.36 = 47,642.52/x
  3. Step 3: Cross multiply
    85,361.16x = 117,801.36 × 47,642.52
  4. Step 4: Simplify right side
    85,361.16x = 5,612,353,649.83
  5. Step 5: Solve for x
    x = 5,612,353,649.83/85,361.16
  6. Step 6: Final answer
    x = 65,748.33

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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.