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Finding the Fourth Proportional to 83,639.36, 115,476.36 and 51,842

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Solution

The fourth proportional to 83,639.36, 115,476.36 and 51,842 is: 71,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639.36 : 115,476.36 = 51,842 : x
  2. Step 2: Convert to fraction form
    83,639.36/115,476.36 = 51,842/x
  3. Step 3: Cross multiply
    83,639.36x = 115,476.36 × 51,842
  4. Step 4: Simplify right side
    83,639.36x = 5,986,525,455.12
  5. Step 5: Solve for x
    x = 5,986,525,455.12/83,639.36
  6. Step 6: Final answer
    x = 71,575.46

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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.