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Finding the Fourth Proportional to 85,653.84, 128,489.31 and 29,486.51

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Solution

The fourth proportional to 85,653.84, 128,489.31 and 29,486.51 is: 44,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,653.84 : 128,489.31 = 29,486.51 : x
  2. Step 2: Convert to fraction form
    85,653.84/128,489.31 = 29,486.51/x
  3. Step 3: Cross multiply
    85,653.84x = 128,489.31 × 29,486.51
  4. Step 4: Simplify right side
    85,653.84x = 3,788,701,645.43
  5. Step 5: Solve for x
    x = 3,788,701,645.43/85,653.84
  6. Step 6: Final answer
    x = 44,232.71

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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.