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Finding the Fourth Proportional to 77,675.80, 116,245.98 and 47,670.12

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Solution

The fourth proportional to 77,675.80, 116,245.98 and 47,670.12 is: 71,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,675.80 : 116,245.98 = 47,670.12 : x
  2. Step 2: Convert to fraction form
    77,675.80/116,245.98 = 47,670.12/x
  3. Step 3: Cross multiply
    77,675.80x = 116,245.98 × 47,670.12
  4. Step 4: Simplify right side
    77,675.80x = 5,541,459,816.12
  5. Step 5: Solve for x
    x = 5,541,459,816.12/77,675.80
  6. Step 6: Final answer
    x = 71,340.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.