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Finding the Fourth Proportional to 70,165.64, 96,823.96 and 39,954.06

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Solution

The fourth proportional to 70,165.64, 96,823.96 and 39,954.06 is: 55,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,165.64 : 96,823.96 = 39,954.06 : x
  2. Step 2: Convert to fraction form
    70,165.64/96,823.96 = 39,954.06/x
  3. Step 3: Cross multiply
    70,165.64x = 96,823.96 × 39,954.06
  4. Step 4: Simplify right side
    70,165.64x = 3,868,510,207.39
  5. Step 5: Solve for x
    x = 3,868,510,207.39/70,165.64
  6. Step 6: Final answer
    x = 55,133.97

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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.