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Finding the Fourth Proportional to 76,675.50, 105,821.91 and 43,147.98

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Solution

The fourth proportional to 76,675.50, 105,821.91 and 43,147.98 is: 59,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.50 : 105,821.91 = 43,147.98 : x
  2. Step 2: Convert to fraction form
    76,675.50/105,821.91 = 43,147.98/x
  3. Step 3: Cross multiply
    76,675.50x = 105,821.91 × 43,147.98
  4. Step 4: Simplify right side
    76,675.50x = 4,566,001,656.24
  5. Step 5: Solve for x
    x = 4,566,001,656.24/76,675.50
  6. Step 6: Final answer
    x = 59,549.68

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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.