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Finding the Fourth Proportional to 86,653.28, 129,979.26 and 35,361.74

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Solution

The fourth proportional to 86,653.28, 129,979.26 and 35,361.74 is: 53,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,653.28 : 129,979.26 = 35,361.74 : x
  2. Step 2: Convert to fraction form
    86,653.28/129,979.26 = 35,361.74/x
  3. Step 3: Cross multiply
    86,653.28x = 129,979.26 × 35,361.74
  4. Step 4: Simplify right side
    86,653.28x = 4,596,292,797.51
  5. Step 5: Solve for x
    x = 4,596,292,797.51/86,653.28
  6. Step 6: Final answer
    x = 53,042.34

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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.