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Finding the Fourth Proportional to 48,298, 72,453.76 and 45,642

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Solution

The fourth proportional to 48,298, 72,453.76 and 45,642 is: 68,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,298 : 72,453.76 = 45,642 : x
  2. Step 2: Convert to fraction form
    48,298/72,453.76 = 45,642/x
  3. Step 3: Cross multiply
    48,298x = 72,453.76 × 45,642
  4. Step 4: Simplify right side
    48,298x = 3,306,934,513.92
  5. Step 5: Solve for x
    x = 3,306,934,513.92/48,298
  6. Step 6: Final answer
    x = 68,469.39

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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.