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Finding the Fourth Proportional to 76,605.43, 105,702.63 and 42,609.43

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Solution

The fourth proportional to 76,605.43, 105,702.63 and 42,609.43 is: 58,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,605.43 : 105,702.63 = 42,609.43 : x
  2. Step 2: Convert to fraction form
    76,605.43/105,702.63 = 42,609.43/x
  3. Step 3: Cross multiply
    76,605.43x = 105,702.63 × 42,609.43
  4. Step 4: Simplify right side
    76,605.43x = 4,503,928,813.80
  5. Step 5: Solve for x
    x = 4,503,928,813.80/76,605.43
  6. Step 6: Final answer
    x = 58,793.86

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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.