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Finding the Fourth Proportional to 123,306, 170,189.46 and 80,210.40

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Solution

The fourth proportional to 123,306, 170,189.46 and 80,210.40 is: 110,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,306 : 170,189.46 = 80,210.40 : x
  2. Step 2: Convert to fraction form
    123,306/170,189.46 = 80,210.40/x
  3. Step 3: Cross multiply
    123,306x = 170,189.46 × 80,210.40
  4. Step 4: Simplify right side
    123,306x = 13,650,964,662.38
  5. Step 5: Solve for x
    x = 13,650,964,662.38/123,306
  6. Step 6: Final answer
    x = 110,708.03

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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.