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Finding the Fourth Proportional to 149,186.03, 205,881.03 and 81,207.41

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Solution

The fourth proportional to 149,186.03, 205,881.03 and 81,207.41 is: 112,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,186.03 : 205,881.03 = 81,207.41 : x
  2. Step 2: Convert to fraction form
    149,186.03/205,881.03 = 81,207.41/x
  3. Step 3: Cross multiply
    149,186.03x = 205,881.03 × 81,207.41
  4. Step 4: Simplify right side
    149,186.03x = 16,719,064,185.03
  5. Step 5: Solve for x
    x = 16,719,064,185.03/149,186.03
  6. Step 6: Final answer
    x = 112,068.57

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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.