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Finding the Fourth Proportional to 128,511.90, 192,767.85 and 114,515.10

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Solution

The fourth proportional to 128,511.90, 192,767.85 and 114,515.10 is: 171,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,511.90 : 192,767.85 = 114,515.10 : x
  2. Step 2: Convert to fraction form
    128,511.90/192,767.85 = 114,515.10/x
  3. Step 3: Cross multiply
    128,511.90x = 192,767.85 × 114,515.10
  4. Step 4: Simplify right side
    128,511.90x = 22,074,829,619.54
  5. Step 5: Solve for x
    x = 22,074,829,619.54/128,511.90
  6. Step 6: Final answer
    x = 171,772.65

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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.