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Finding the Fourth Proportional to 78,642, 108,525.96 and 43,314

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Solution

The fourth proportional to 78,642, 108,525.96 and 43,314 is: 59,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,642 : 108,525.96 = 43,314 : x
  2. Step 2: Convert to fraction form
    78,642/108,525.96 = 43,314/x
  3. Step 3: Cross multiply
    78,642x = 108,525.96 × 43,314
  4. Step 4: Simplify right side
    78,642x = 4,700,693,431.44
  5. Step 5: Solve for x
    x = 4,700,693,431.44/78,642
  6. Step 6: Final answer
    x = 59,773.32

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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.