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Finding the Fourth Proportional to 205,338.40, 307,978.80 and 65,111.20

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Solution

The fourth proportional to 205,338.40, 307,978.80 and 65,111.20 is: 97,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,338.40 : 307,978.80 = 65,111.20 : x
  2. Step 2: Convert to fraction form
    205,338.40/307,978.80 = 65,111.20/x
  3. Step 3: Cross multiply
    205,338.40x = 307,978.80 × 65,111.20
  4. Step 4: Simplify right side
    205,338.40x = 20,052,869,242.56
  5. Step 5: Solve for x
    x = 20,052,869,242.56/205,338.40
  6. Step 6: Final answer
    x = 97,657.67

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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.