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Finding the Fourth Proportional to 198,173.87, 297,259.76 and 48,415

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Solution

The fourth proportional to 198,173.87, 297,259.76 and 48,415 is: 72,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,173.87 : 297,259.76 = 48,415 : x
  2. Step 2: Convert to fraction form
    198,173.87/297,259.76 = 48,415/x
  3. Step 3: Cross multiply
    198,173.87x = 297,259.76 × 48,415
  4. Step 4: Simplify right side
    198,173.87x = 14,391,831,280.40
  5. Step 5: Solve for x
    x = 14,391,831,280.40/198,173.87
  6. Step 6: Final answer
    x = 72,622.24

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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.