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Finding the Fourth Proportional to 262,564.90, 393,956.70 and 85,126.30

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Solution

The fourth proportional to 262,564.90, 393,956.70 and 85,126.30 is: 127,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,564.90 : 393,956.70 = 85,126.30 : x
  2. Step 2: Convert to fraction form
    262,564.90/393,956.70 = 85,126.30/x
  3. Step 3: Cross multiply
    262,564.90x = 393,956.70 × 85,126.30
  4. Step 4: Simplify right side
    262,564.90x = 33,536,076,231.21
  5. Step 5: Solve for x
    x = 33,536,076,231.21/262,564.90
  6. Step 6: Final answer
    x = 127,724.90

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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.