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Finding the Fourth Proportional to 270,722.16, 406,065.96 and 83,718

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Solution

The fourth proportional to 270,722.16, 406,065.96 and 83,718 is: 125,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,722.16 : 406,065.96 = 83,718 : x
  2. Step 2: Convert to fraction form
    270,722.16/406,065.96 = 83,718/x
  3. Step 3: Cross multiply
    270,722.16x = 406,065.96 × 83,718
  4. Step 4: Simplify right side
    270,722.16x = 33,995,030,039.28
  5. Step 5: Solve for x
    x = 33,995,030,039.28/270,722.16
  6. Step 6: Final answer
    x = 125,571.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.