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Finding the Fourth Proportional to 76,505.16, 114,776.21 and 26,578

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Solution

The fourth proportional to 76,505.16, 114,776.21 and 26,578 is: 39,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505.16 : 114,776.21 = 26,578 : x
  2. Step 2: Convert to fraction form
    76,505.16/114,776.21 = 26,578/x
  3. Step 3: Cross multiply
    76,505.16x = 114,776.21 × 26,578
  4. Step 4: Simplify right side
    76,505.16x = 3,050,522,109.38
  5. Step 5: Solve for x
    x = 3,050,522,109.38/76,505.16
  6. Step 6: Final answer
    x = 39,873.42

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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.