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Finding the Fourth Proportional to 105,745.80, 145,852.74 and 89,805

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Solution

The fourth proportional to 105,745.80, 145,852.74 and 89,805 is: 123,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.80 : 145,852.74 = 89,805 : x
  2. Step 2: Convert to fraction form
    105,745.80/145,852.74 = 89,805/x
  3. Step 3: Cross multiply
    105,745.80x = 145,852.74 × 89,805
  4. Step 4: Simplify right side
    105,745.80x = 13,098,305,315.70
  5. Step 5: Solve for x
    x = 13,098,305,315.70/105,745.80
  6. Step 6: Final answer
    x = 123,865.96

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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.