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Finding the Fourth Proportional to 76,684.40, 105,821.88 and 43,143.92

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Solution

The fourth proportional to 76,684.40, 105,821.88 and 43,143.92 is: 59,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.40 : 105,821.88 = 43,143.92 : x
  2. Step 2: Convert to fraction form
    76,684.40/105,821.88 = 43,143.92/x
  3. Step 3: Cross multiply
    76,684.40x = 105,821.88 × 43,143.92
  4. Step 4: Simplify right side
    76,684.40x = 4,565,570,724.97
  5. Step 5: Solve for x
    x = 4,565,570,724.97/76,684.40
  6. Step 6: Final answer
    x = 59,537.15

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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.