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Finding the Fourth Proportional to 127,692, 191,538 and 40,140

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Solution

The fourth proportional to 127,692, 191,538 and 40,140 is: 60,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,692 : 191,538 = 40,140 : x
  2. Step 2: Convert to fraction form
    127,692/191,538 = 40,140/x
  3. Step 3: Cross multiply
    127,692x = 191,538 × 40,140
  4. Step 4: Simplify right side
    127,692x = 7,688,335,320
  5. Step 5: Solve for x
    x = 7,688,335,320/127,692
  6. Step 6: Final answer
    x = 60,210

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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.