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Finding the Fourth Proportional to 76,648.65, 114,915.39 and 51,618.43

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Solution

The fourth proportional to 76,648.65, 114,915.39 and 51,618.43 is: 77,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648.65 : 114,915.39 = 51,618.43 : x
  2. Step 2: Convert to fraction form
    76,648.65/114,915.39 = 51,618.43/x
  3. Step 3: Cross multiply
    76,648.65x = 114,915.39 × 51,618.43
  4. Step 4: Simplify right side
    76,648.65x = 5,931,752,014.64
  5. Step 5: Solve for x
    x = 5,931,752,014.64/76,648.65
  6. Step 6: Final answer
    x = 77,388.86

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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.