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Finding the Fourth Proportional to 76,714.28, 114,939.39 and 59,880.86

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Solution

The fourth proportional to 76,714.28, 114,939.39 and 59,880.86 is: 89,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,714.28 : 114,939.39 = 59,880.86 : x
  2. Step 2: Convert to fraction form
    76,714.28/114,939.39 = 59,880.86/x
  3. Step 3: Cross multiply
    76,714.28x = 114,939.39 × 59,880.86
  4. Step 4: Simplify right side
    76,714.28x = 6,882,669,521.08
  5. Step 5: Solve for x
    x = 6,882,669,521.08/76,714.28
  6. Step 6: Final answer
    x = 89,718.23

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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.