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Finding the Fourth Proportional to 128,314.77, 192,368.16 and 53,491.02

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Solution

The fourth proportional to 128,314.77, 192,368.16 and 53,491.02 is: 80,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,314.77 : 192,368.16 = 53,491.02 : x
  2. Step 2: Convert to fraction form
    128,314.77/192,368.16 = 53,491.02/x
  3. Step 3: Cross multiply
    128,314.77x = 192,368.16 × 53,491.02
  4. Step 4: Simplify right side
    128,314.77x = 10,289,969,093.92
  5. Step 5: Solve for x
    x = 10,289,969,093.92/128,314.77
  6. Step 6: Final answer
    x = 80,193.18

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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.