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Finding the Fourth Proportional to 229,065.34, 343,634.76 and 86,970.48

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Solution

The fourth proportional to 229,065.34, 343,634.76 and 86,970.48 is: 130,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,065.34 : 343,634.76 = 86,970.48 : x
  2. Step 2: Convert to fraction form
    229,065.34/343,634.76 = 86,970.48/x
  3. Step 3: Cross multiply
    229,065.34x = 343,634.76 × 86,970.48
  4. Step 4: Simplify right side
    229,065.34x = 29,886,080,021.88
  5. Step 5: Solve for x
    x = 29,886,080,021.88/229,065.34
  6. Step 6: Final answer
    x = 130,469.67

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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.