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Finding the Fourth Proportional to 215,106.78, 322,660.02 and 65,346.48

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Solution

The fourth proportional to 215,106.78, 322,660.02 and 65,346.48 is: 98,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,106.78 : 322,660.02 = 65,346.48 : x
  2. Step 2: Convert to fraction form
    215,106.78/322,660.02 = 65,346.48/x
  3. Step 3: Cross multiply
    215,106.78x = 322,660.02 × 65,346.48
  4. Step 4: Simplify right side
    215,106.78x = 21,084,696,543.73
  5. Step 5: Solve for x
    x = 21,084,696,543.73/215,106.78
  6. Step 6: Final answer
    x = 98,019.67

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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.