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Finding the Fourth Proportional to 76,689.48, 115,061.90 and 26,776.93

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Solution

The fourth proportional to 76,689.48, 115,061.90 and 26,776.93 is: 40,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,689.48 : 115,061.90 = 26,776.93 : x
  2. Step 2: Convert to fraction form
    76,689.48/115,061.90 = 26,776.93/x
  3. Step 3: Cross multiply
    76,689.48x = 115,061.90 × 26,776.93
  4. Step 4: Simplify right side
    76,689.48x = 3,081,004,441.97
  5. Step 5: Solve for x
    x = 3,081,004,441.97/76,689.48
  6. Step 6: Final answer
    x = 40,175.06

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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.