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Finding the Fourth Proportional to 270,749.12, 406,122.53 and 68,345.64

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Solution

The fourth proportional to 270,749.12, 406,122.53 and 68,345.64 is: 102,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,749.12 : 406,122.53 = 68,345.64 : x
  2. Step 2: Convert to fraction form
    270,749.12/406,122.53 = 68,345.64/x
  3. Step 3: Cross multiply
    270,749.12x = 406,122.53 × 68,345.64
  4. Step 4: Simplify right side
    270,749.12x = 27,756,703,889.54
  5. Step 5: Solve for x
    x = 27,756,703,889.54/270,749.12
  6. Step 6: Final answer
    x = 102,518.17

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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.