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Finding the Fourth Proportional to 149,020.31, 205,649.00 and 81,038.03

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Solution

The fourth proportional to 149,020.31, 205,649.00 and 81,038.03 is: 111,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020.31 : 205,649.00 = 81,038.03 : x
  2. Step 2: Convert to fraction form
    149,020.31/205,649.00 = 81,038.03/x
  3. Step 3: Cross multiply
    149,020.31x = 205,649.00 × 81,038.03
  4. Step 4: Simplify right side
    149,020.31x = 16,665,389,157.77
  5. Step 5: Solve for x
    x = 16,665,389,157.77/149,020.31
  6. Step 6: Final answer
    x = 111,833.00

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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.