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Finding the Fourth Proportional to 127,200, 190,800 and 39,648

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Solution

The fourth proportional to 127,200, 190,800 and 39,648 is: 59,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200 : 190,800 = 39,648 : x
  2. Step 2: Convert to fraction form
    127,200/190,800 = 39,648/x
  3. Step 3: Cross multiply
    127,200x = 190,800 × 39,648
  4. Step 4: Simplify right side
    127,200x = 7,564,838,400
  5. Step 5: Solve for x
    x = 7,564,838,400/127,200
  6. Step 6: Final answer
    x = 59,472

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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.