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Finding the Fourth Proportional to 48,132, 72,227.16 and 20,430

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Solution

The fourth proportional to 48,132, 72,227.16 and 20,430 is: 30,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,132 : 72,227.16 = 20,430 : x
  2. Step 2: Convert to fraction form
    48,132/72,227.16 = 20,430/x
  3. Step 3: Cross multiply
    48,132x = 72,227.16 × 20,430
  4. Step 4: Simplify right side
    48,132x = 1,475,600,878.80
  5. Step 5: Solve for x
    x = 1,475,600,878.80/48,132
  6. Step 6: Final answer
    x = 30,657.38

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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.