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Finding the Fourth Proportional to 223,568.64, 308,530.56 and 122,969.28

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Solution

The fourth proportional to 223,568.64, 308,530.56 and 122,969.28 is: 169,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,568.64 : 308,530.56 = 122,969.28 : x
  2. Step 2: Convert to fraction form
    223,568.64/308,530.56 = 122,969.28/x
  3. Step 3: Cross multiply
    223,568.64x = 308,530.56 × 122,969.28
  4. Step 4: Simplify right side
    223,568.64x = 37,939,780,821.20
  5. Step 5: Solve for x
    x = 37,939,780,821.20/223,568.64
  6. Step 6: Final answer
    x = 169,700.82

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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.