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Finding the Fourth Proportional to 85,497.69, 117,986.57 and 47,771.97

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Solution

The fourth proportional to 85,497.69, 117,986.57 and 47,771.97 is: 65,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497.69 : 117,986.57 = 47,771.97 : x
  2. Step 2: Convert to fraction form
    85,497.69/117,986.57 = 47,771.97/x
  3. Step 3: Cross multiply
    85,497.69x = 117,986.57 × 47,771.97
  4. Step 4: Simplify right side
    85,497.69x = 5,636,450,643.58
  5. Step 5: Solve for x
    x = 5,636,450,643.58/85,497.69
  6. Step 6: Final answer
    x = 65,925.18

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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.