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Finding the Fourth Proportional to 127,065, 190,592 and 42,819.60

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Solution

The fourth proportional to 127,065, 190,592 and 42,819.60 is: 64,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,065 : 190,592 = 42,819.60 : x
  2. Step 2: Convert to fraction form
    127,065/190,592 = 42,819.60/x
  3. Step 3: Cross multiply
    127,065x = 190,592 × 42,819.60
  4. Step 4: Simplify right side
    127,065x = 8,161,073,203.20
  5. Step 5: Solve for x
    x = 8,161,073,203.20/127,065
  6. Step 6: Final answer
    x = 64,227.55

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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.