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Finding the Fourth Proportional to 65,706, 90,674.28 and 35,898

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Solution

The fourth proportional to 65,706, 90,674.28 and 35,898 is: 49,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706 : 90,674.28 = 35,898 : x
  2. Step 2: Convert to fraction form
    65,706/90,674.28 = 35,898/x
  3. Step 3: Cross multiply
    65,706x = 90,674.28 × 35,898
  4. Step 4: Simplify right side
    65,706x = 3,255,025,303.44
  5. Step 5: Solve for x
    x = 3,255,025,303.44/65,706
  6. Step 6: Final answer
    x = 49,539.24

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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.