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Finding the Fourth Proportional to 76,608.64, 114,795.68 and 51,556

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Solution

The fourth proportional to 76,608.64, 114,795.68 and 51,556 is: 77,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608.64 : 114,795.68 = 51,556 : x
  2. Step 2: Convert to fraction form
    76,608.64/114,795.68 = 51,556/x
  3. Step 3: Cross multiply
    76,608.64x = 114,795.68 × 51,556
  4. Step 4: Simplify right side
    76,608.64x = 5,918,406,078.08
  5. Step 5: Solve for x
    x = 5,918,406,078.08/76,608.64
  6. Step 6: Final answer
    x = 77,255.07

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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.