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Finding the Fourth Proportional to 105,969.87, 146,177.60 and 66,156.75

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Solution

The fourth proportional to 105,969.87, 146,177.60 and 66,156.75 is: 91,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.87 : 146,177.60 = 66,156.75 : x
  2. Step 2: Convert to fraction form
    105,969.87/146,177.60 = 66,156.75/x
  3. Step 3: Cross multiply
    105,969.87x = 146,177.60 × 66,156.75
  4. Step 4: Simplify right side
    105,969.87x = 9,670,634,608.02
  5. Step 5: Solve for x
    x = 9,670,634,608.02/105,969.87
  6. Step 6: Final answer
    x = 91,258.34

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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.