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Finding the Fourth Proportional to 51,706.31, 71,383.10 and 31,292.18

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Solution

The fourth proportional to 51,706.31, 71,383.10 and 31,292.18 is: 43,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706.31 : 71,383.10 = 31,292.18 : x
  2. Step 2: Convert to fraction form
    51,706.31/71,383.10 = 31,292.18/x
  3. Step 3: Cross multiply
    51,706.31x = 71,383.10 × 31,292.18
  4. Step 4: Simplify right side
    51,706.31x = 2,233,732,814.16
  5. Step 5: Solve for x
    x = 2,233,732,814.16/51,706.31
  6. Step 6: Final answer
    x = 43,200.39

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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.