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Finding the Fourth Proportional to 76,647.65, 114,913.89 and 51,617.43

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Solution

The fourth proportional to 76,647.65, 114,913.89 and 51,617.43 is: 77,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,647.65 : 114,913.89 = 51,617.43 : x
  2. Step 2: Convert to fraction form
    76,647.65/114,913.89 = 51,617.43/x
  3. Step 3: Cross multiply
    76,647.65x = 114,913.89 × 51,617.43
  4. Step 4: Simplify right side
    76,647.65x = 5,931,559,673.10
  5. Step 5: Solve for x
    x = 5,931,559,673.10/76,647.65
  6. Step 6: Final answer
    x = 77,387.37

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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.