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Finding the Fourth Proportional to 77,588.50, 116,389.50 and 21,428.68

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Solution

The fourth proportional to 77,588.50, 116,389.50 and 21,428.68 is: 32,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,588.50 : 116,389.50 = 21,428.68 : x
  2. Step 2: Convert to fraction form
    77,588.50/116,389.50 = 21,428.68/x
  3. Step 3: Cross multiply
    77,588.50x = 116,389.50 × 21,428.68
  4. Step 4: Simplify right side
    77,588.50x = 2,494,073,350.86
  5. Step 5: Solve for x
    x = 2,494,073,350.86/77,588.50
  6. Step 6: Final answer
    x = 32,144.88

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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.