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Finding the Fourth Proportional to 210,132.80, 289,623.84 and 164,513.60

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Solution

The fourth proportional to 210,132.80, 289,623.84 and 164,513.60 is: 226,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,132.80 : 289,623.84 = 164,513.60 : x
  2. Step 2: Convert to fraction form
    210,132.80/289,623.84 = 164,513.60/x
  3. Step 3: Cross multiply
    210,132.80x = 289,623.84 × 164,513.60
  4. Step 4: Simplify right side
    210,132.80x = 47,647,060,564.22
  5. Step 5: Solve for x
    x = 47,647,060,564.22/210,132.80
  6. Step 6: Final answer
    x = 226,747.37

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1.5x scale

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.