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Finding the Fourth Proportional to 65,130, 89,879.88 and 35,322

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Solution

The fourth proportional to 65,130, 89,879.88 and 35,322 is: 48,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130 : 89,879.88 = 35,322 : x
  2. Step 2: Convert to fraction form
    65,130/89,879.88 = 35,322/x
  3. Step 3: Cross multiply
    65,130x = 89,879.88 × 35,322
  4. Step 4: Simplify right side
    65,130x = 3,174,737,121.36
  5. Step 5: Solve for x
    x = 3,174,737,121.36/65,130
  6. Step 6: Final answer
    x = 48,744.62

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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.