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Finding the Fourth Proportional to 149,071.52, 205,715.36 and 85,446.80

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Solution

The fourth proportional to 149,071.52, 205,715.36 and 85,446.80 is: 117,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,071.52 : 205,715.36 = 85,446.80 : x
  2. Step 2: Convert to fraction form
    149,071.52/205,715.36 = 85,446.80/x
  3. Step 3: Cross multiply
    149,071.52x = 205,715.36 × 85,446.80
  4. Step 4: Simplify right side
    149,071.52x = 17,577,719,222.85
  5. Step 5: Solve for x
    x = 17,577,719,222.85/149,071.52
  6. Step 6: Final answer
    x = 117,914.67

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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.