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Finding the Fourth Proportional to 149,020.16, 205,643.72 and 81,952.16

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Solution

The fourth proportional to 149,020.16, 205,643.72 and 81,952.16 is: 113,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020.16 : 205,643.72 = 81,952.16 : x
  2. Step 2: Convert to fraction form
    149,020.16/205,643.72 = 81,952.16/x
  3. Step 3: Cross multiply
    149,020.16x = 205,643.72 × 81,952.16
  4. Step 4: Simplify right side
    149,020.16x = 16,852,947,044.44
  5. Step 5: Solve for x
    x = 16,852,947,044.44/149,020.16
  6. Step 6: Final answer
    x = 113,091.73

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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.