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Finding the Fourth Proportional to 149,034.16, 205,662.96 and 81,966.16

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Solution

The fourth proportional to 149,034.16, 205,662.96 and 81,966.16 is: 113,111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,034.16 : 205,662.96 = 81,966.16 : x
  2. Step 2: Convert to fraction form
    149,034.16/205,662.96 = 81,966.16/x
  3. Step 3: Cross multiply
    149,034.16x = 205,662.96 × 81,966.16
  4. Step 4: Simplify right side
    149,034.16x = 16,857,403,085.43
  5. Step 5: Solve for x
    x = 16,857,403,085.43/149,034.16
  6. Step 6: Final answer
    x = 113,111.00

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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.