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Finding the Fourth Proportional to 146,409.51, 202,047.30 and 81,885.72

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Solution

The fourth proportional to 146,409.51, 202,047.30 and 81,885.72 is: 113,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,409.51 : 202,047.30 = 81,885.72 : x
  2. Step 2: Convert to fraction form
    146,409.51/202,047.30 = 81,885.72/x
  3. Step 3: Cross multiply
    146,409.51x = 202,047.30 × 81,885.72
  4. Step 4: Simplify right side
    146,409.51x = 16,544,788,634.56
  5. Step 5: Solve for x
    x = 16,544,788,634.56/146,409.51
  6. Step 6: Final answer
    x = 113,003.51

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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.