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Finding the Fourth Proportional to 128,775.20, 193,009.20 and 53,895.20

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Solution

The fourth proportional to 128,775.20, 193,009.20 and 53,895.20 is: 80,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,775.20 : 193,009.20 = 53,895.20 : x
  2. Step 2: Convert to fraction form
    128,775.20/193,009.20 = 53,895.20/x
  3. Step 3: Cross multiply
    128,775.20x = 193,009.20 × 53,895.20
  4. Step 4: Simplify right side
    128,775.20x = 10,402,269,435.84
  5. Step 5: Solve for x
    x = 10,402,269,435.84/128,775.20
  6. Step 6: Final answer
    x = 80,778.52

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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.