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Finding the Fourth Proportional to 139,397.96, 209,202.09 and 64,570.60

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Solution

The fourth proportional to 139,397.96, 209,202.09 and 64,570.60 is: 96,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,397.96 : 209,202.09 = 64,570.60 : x
  2. Step 2: Convert to fraction form
    139,397.96/209,202.09 = 64,570.60/x
  3. Step 3: Cross multiply
    139,397.96x = 209,202.09 × 64,570.60
  4. Step 4: Simplify right side
    139,397.96x = 13,508,303,949.55
  5. Step 5: Solve for x
    x = 13,508,303,949.55/139,397.96
  6. Step 6: Final answer
    x = 96,904.61

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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.