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Finding the Fourth Proportional to 149,030.49, 205,659.23 and 81,962.49

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Solution

The fourth proportional to 149,030.49, 205,659.23 and 81,962.49 is: 113,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,030.49 : 205,659.23 = 81,962.49 : x
  2. Step 2: Convert to fraction form
    149,030.49/205,659.23 = 81,962.49/x
  3. Step 3: Cross multiply
    149,030.49x = 205,659.23 × 81,962.49
  4. Step 4: Simplify right side
    149,030.49x = 16,856,342,172.47
  5. Step 5: Solve for x
    x = 16,856,342,172.47/149,030.49
  6. Step 6: Final answer
    x = 113,106.67

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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.