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Finding the Fourth Proportional to 285,200.78, 427,800 and 71,969.18

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Solution

The fourth proportional to 285,200.78, 427,800 and 71,969.18 is: 107,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,200.78 : 427,800 = 71,969.18 : x
  2. Step 2: Convert to fraction form
    285,200.78/427,800 = 71,969.18/x
  3. Step 3: Cross multiply
    285,200.78x = 427,800 × 71,969.18
  4. Step 4: Simplify right side
    285,200.78x = 30,788,415,204.00
  5. Step 5: Solve for x
    x = 30,788,415,204.00/285,200.78
  6. Step 6: Final answer
    x = 107,953.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.