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Finding the Fourth Proportional to 70,978.36, 97,954.62 and 39,147.32

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Solution

The fourth proportional to 70,978.36, 97,954.62 and 39,147.32 is: 54,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.36 : 97,954.62 = 39,147.32 : x
  2. Step 2: Convert to fraction form
    70,978.36/97,954.62 = 39,147.32/x
  3. Step 3: Cross multiply
    70,978.36x = 97,954.62 × 39,147.32
  4. Step 4: Simplify right side
    70,978.36x = 3,834,660,854.62
  5. Step 5: Solve for x
    x = 3,834,660,854.62/70,978.36
  6. Step 6: Final answer
    x = 54,025.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.