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Finding the Fourth Proportional to 76,687.20, 115,097.26 and 76,509.89

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Solution

The fourth proportional to 76,687.20, 115,097.26 and 76,509.89 is: 114,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.20 : 115,097.26 = 76,509.89 : x
  2. Step 2: Convert to fraction form
    76,687.20/115,097.26 = 76,509.89/x
  3. Step 3: Cross multiply
    76,687.20x = 115,097.26 × 76,509.89
  4. Step 4: Simplify right side
    76,687.20x = 8,806,077,935.14
  5. Step 5: Solve for x
    x = 8,806,077,935.14/76,687.20
  6. Step 6: Final answer
    x = 114,831.13

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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.