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Finding the Fourth Proportional to 70,969.28, 97,977 and 51,830

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Solution

The fourth proportional to 70,969.28, 97,977 and 51,830 is: 71,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969.28 : 97,977 = 51,830 : x
  2. Step 2: Convert to fraction form
    70,969.28/97,977 = 51,830/x
  3. Step 3: Cross multiply
    70,969.28x = 97,977 × 51,830
  4. Step 4: Simplify right side
    70,969.28x = 5,078,147,910
  5. Step 5: Solve for x
    x = 5,078,147,910/70,969.28
  6. Step 6: Final answer
    x = 71,554.17

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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.