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Finding the Fourth Proportional to 106,132.80, 146,530.50 and 65,889.26

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Solution

The fourth proportional to 106,132.80, 146,530.50 and 65,889.26 is: 90,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,132.80 : 146,530.50 = 65,889.26 : x
  2. Step 2: Convert to fraction form
    106,132.80/146,530.50 = 65,889.26/x
  3. Step 3: Cross multiply
    106,132.80x = 146,530.50 × 65,889.26
  4. Step 4: Simplify right side
    106,132.80x = 9,654,786,331.67
  5. Step 5: Solve for x
    x = 9,654,786,331.67/106,132.80
  6. Step 6: Final answer
    x = 90,968.92

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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.