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Finding the Fourth Proportional to 70,980.32, 97,949.31 and 39,147.32

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Solution

The fourth proportional to 70,980.32, 97,949.31 and 39,147.32 is: 54,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,980.32 : 97,949.31 = 39,147.32 : x
  2. Step 2: Convert to fraction form
    70,980.32/97,949.31 = 39,147.32/x
  3. Step 3: Cross multiply
    70,980.32x = 97,949.31 × 39,147.32
  4. Step 4: Simplify right side
    70,980.32x = 3,834,452,982.35
  5. Step 5: Solve for x
    x = 3,834,452,982.35/70,980.32
  6. Step 6: Final answer
    x = 54,021.35

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1.5x scale

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.