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Finding the Fourth Proportional to 84,653.34, 126,361.88 and 78,486

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Solution

The fourth proportional to 84,653.34, 126,361.88 and 78,486 is: 117,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,653.34 : 126,361.88 = 78,486 : x
  2. Step 2: Convert to fraction form
    84,653.34/126,361.88 = 78,486/x
  3. Step 3: Cross multiply
    84,653.34x = 126,361.88 × 78,486
  4. Step 4: Simplify right side
    84,653.34x = 9,917,638,121.25
  5. Step 5: Solve for x
    x = 9,917,638,121.25/84,653.34
  6. Step 6: Final answer
    x = 117,155.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.