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Finding the Fourth Proportional to 99,491.20, 149,409.60 and 52,835.20

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Solution

The fourth proportional to 99,491.20, 149,409.60 and 52,835.20 is: 79,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,491.20 : 149,409.60 = 52,835.20 : x
  2. Step 2: Convert to fraction form
    99,491.20/149,409.60 = 52,835.20/x
  3. Step 3: Cross multiply
    99,491.20x = 149,409.60 × 52,835.20
  4. Step 4: Simplify right side
    99,491.20x = 7,894,086,097.92
  5. Step 5: Solve for x
    x = 7,894,086,097.92/99,491.20
  6. Step 6: Final answer
    x = 79,344.57

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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.