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Finding the Fourth Proportional to 146,971.81, 202,820.25 and 81,559.98

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Solution

The fourth proportional to 146,971.81, 202,820.25 and 81,559.98 is: 112,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,971.81 : 202,820.25 = 81,559.98 : x
  2. Step 2: Convert to fraction form
    146,971.81/202,820.25 = 81,559.98/x
  3. Step 3: Cross multiply
    146,971.81x = 202,820.25 × 81,559.98
  4. Step 4: Simplify right side
    146,971.81x = 16,542,015,533.60
  5. Step 5: Solve for x
    x = 16,542,015,533.60/146,971.81
  6. Step 6: Final answer
    x = 112,552.30

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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.