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Finding the Fourth Proportional to 127,781.60, 191,745.30 and 48,952.40

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Solution

The fourth proportional to 127,781.60, 191,745.30 and 48,952.40 is: 73,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,781.60 : 191,745.30 = 48,952.40 : x
  2. Step 2: Convert to fraction form
    127,781.60/191,745.30 = 48,952.40/x
  3. Step 3: Cross multiply
    127,781.60x = 191,745.30 × 48,952.40
  4. Step 4: Simplify right side
    127,781.60x = 9,386,392,623.72
  5. Step 5: Solve for x
    x = 9,386,392,623.72/127,781.60
  6. Step 6: Final answer
    x = 73,456.53

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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.