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Finding the Fourth Proportional to 51,971.88, 71,712 and 30,743.40

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Solution

The fourth proportional to 51,971.88, 71,712 and 30,743.40 is: 42,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.88 : 71,712 = 30,743.40 : x
  2. Step 2: Convert to fraction form
    51,971.88/71,712 = 30,743.40/x
  3. Step 3: Cross multiply
    51,971.88x = 71,712 × 30,743.40
  4. Step 4: Simplify right side
    51,971.88x = 2,204,670,700.80
  5. Step 5: Solve for x
    x = 2,204,670,700.80/51,971.88
  6. Step 6: Final answer
    x = 42,420.45

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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.