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Finding the Fourth Proportional to 207,901.76, 286,978.20 and 123,018.64

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Solution

The fourth proportional to 207,901.76, 286,978.20 and 123,018.64 is: 169,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.76 : 286,978.20 = 123,018.64 : x
  2. Step 2: Convert to fraction form
    207,901.76/286,978.20 = 123,018.64/x
  3. Step 3: Cross multiply
    207,901.76x = 286,978.20 × 123,018.64
  4. Step 4: Simplify right side
    207,901.76x = 35,303,667,873.65
  5. Step 5: Solve for x
    x = 35,303,667,873.65/207,901.76
  6. Step 6: Final answer
    x = 169,809.37

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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.