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Finding the Fourth Proportional to 102,819.58, 154,275.33 and 65,369.63

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Solution

The fourth proportional to 102,819.58, 154,275.33 and 65,369.63 is: 98,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,819.58 : 154,275.33 = 65,369.63 : x
  2. Step 2: Convert to fraction form
    102,819.58/154,275.33 = 65,369.63/x
  3. Step 3: Cross multiply
    102,819.58x = 154,275.33 × 65,369.63
  4. Step 4: Simplify right side
    102,819.58x = 10,084,921,871.05
  5. Step 5: Solve for x
    x = 10,084,921,871.05/102,819.58
  6. Step 6: Final answer
    x = 98,083.67

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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.