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Finding the Fourth Proportional to 78,295.46, 117,439 and 27,690.98

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Solution

The fourth proportional to 78,295.46, 117,439 and 27,690.98 is: 41,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,295.46 : 117,439 = 27,690.98 : x
  2. Step 2: Convert to fraction form
    78,295.46/117,439 = 27,690.98/x
  3. Step 3: Cross multiply
    78,295.46x = 117,439 × 27,690.98
  4. Step 4: Simplify right side
    78,295.46x = 3,252,001,000.22
  5. Step 5: Solve for x
    x = 3,252,001,000.22/78,295.46
  6. Step 6: Final answer
    x = 41,534.99

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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.