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Finding the Fourth Proportional to 70,969.75, 97,824 and 51,819.16

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Solution

The fourth proportional to 70,969.75, 97,824 and 51,819.16 is: 71,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969.75 : 97,824 = 51,819.16 : x
  2. Step 2: Convert to fraction form
    70,969.75/97,824 = 51,819.16/x
  3. Step 3: Cross multiply
    70,969.75x = 97,824 × 51,819.16
  4. Step 4: Simplify right side
    70,969.75x = 5,069,157,507.84
  5. Step 5: Solve for x
    x = 5,069,157,507.84/70,969.75
  6. Step 6: Final answer
    x = 71,427.02

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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.