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Finding the Fourth Proportional to 127,695.20, 191,542.80 and 48,768.80

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Solution

The fourth proportional to 127,695.20, 191,542.80 and 48,768.80 is: 73,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,695.20 : 191,542.80 = 48,768.80 : x
  2. Step 2: Convert to fraction form
    127,695.20/191,542.80 = 48,768.80/x
  3. Step 3: Cross multiply
    127,695.20x = 191,542.80 × 48,768.80
  4. Step 4: Simplify right side
    127,695.20x = 9,341,312,504.64
  5. Step 5: Solve for x
    x = 9,341,312,504.64/127,695.20
  6. Step 6: Final answer
    x = 73,153.20

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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.