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Finding the Fourth Proportional to 128,533.69, 192,809.72 and 39,775.78

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Solution

The fourth proportional to 128,533.69, 192,809.72 and 39,775.78 is: 59,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,533.69 : 192,809.72 = 39,775.78 : x
  2. Step 2: Convert to fraction form
    128,533.69/192,809.72 = 39,775.78/x
  3. Step 3: Cross multiply
    128,533.69x = 192,809.72 × 39,775.78
  4. Step 4: Simplify right side
    128,533.69x = 7,669,156,805.70
  5. Step 5: Solve for x
    x = 7,669,156,805.70/128,533.69
  6. Step 6: Final answer
    x = 59,666.51

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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.