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Finding the Fourth Proportional to 76,897.89, 115,276.36 and 26,950.76

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Solution

The fourth proportional to 76,897.89, 115,276.36 and 26,950.76 is: 40,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,897.89 : 115,276.36 = 26,950.76 : x
  2. Step 2: Convert to fraction form
    76,897.89/115,276.36 = 26,950.76/x
  3. Step 3: Cross multiply
    76,897.89x = 115,276.36 × 26,950.76
  4. Step 4: Simplify right side
    76,897.89x = 3,106,784,868.27
  5. Step 5: Solve for x
    x = 3,106,784,868.27/76,897.89
  6. Step 6: Final answer
    x = 40,401.43

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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.