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Finding the Fourth Proportional to 89,858.56, 134,748.76 and 47,729.40

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Solution

The fourth proportional to 89,858.56, 134,748.76 and 47,729.40 is: 71,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,858.56 : 134,748.76 = 47,729.40 : x
  2. Step 2: Convert to fraction form
    89,858.56/134,748.76 = 47,729.40/x
  3. Step 3: Cross multiply
    89,858.56x = 134,748.76 × 47,729.40
  4. Step 4: Simplify right side
    89,858.56x = 6,431,477,465.54
  5. Step 5: Solve for x
    x = 6,431,477,465.54/89,858.56
  6. Step 6: Final answer
    x = 71,573.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.