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Finding the Fourth Proportional to 84,409.74, 116,418.17 and 71,704.98

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Solution

The fourth proportional to 84,409.74, 116,418.17 and 71,704.98 is: 98,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,409.74 : 116,418.17 = 71,704.98 : x
  2. Step 2: Convert to fraction form
    84,409.74/116,418.17 = 71,704.98/x
  3. Step 3: Cross multiply
    84,409.74x = 116,418.17 × 71,704.98
  4. Step 4: Simplify right side
    84,409.74x = 8,347,762,730.75
  5. Step 5: Solve for x
    x = 8,347,762,730.75/84,409.74
  6. Step 6: Final answer
    x = 98,895.73

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1.5x scale

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.