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Finding the Fourth Proportional to 70,971.16, 97,940.82 and 39,141.16

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Solution

The fourth proportional to 70,971.16, 97,940.82 and 39,141.16 is: 54,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.16 : 97,940.82 = 39,141.16 : x
  2. Step 2: Convert to fraction form
    70,971.16/97,940.82 = 39,141.16/x
  3. Step 3: Cross multiply
    70,971.16x = 97,940.82 × 39,141.16
  4. Step 4: Simplify right side
    70,971.16x = 3,833,517,306.15
  5. Step 5: Solve for x
    x = 3,833,517,306.15/70,971.16
  6. Step 6: Final answer
    x = 54,015.14

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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.