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Finding the Fourth Proportional to 76,814.94, 114,568.92 and 75,485.74

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Solution

The fourth proportional to 76,814.94, 114,568.92 and 75,485.74 is: 112,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,814.94 : 114,568.92 = 75,485.74 : x
  2. Step 2: Convert to fraction form
    76,814.94/114,568.92 = 75,485.74/x
  3. Step 3: Cross multiply
    76,814.94x = 114,568.92 × 75,485.74
  4. Step 4: Simplify right side
    76,814.94x = 8,648,319,707.20
  5. Step 5: Solve for x
    x = 8,648,319,707.20/76,814.94
  6. Step 6: Final answer
    x = 112,586.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.