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Finding the Fourth Proportional to 52,920, 73,033.20 and 30,564

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Solution

The fourth proportional to 52,920, 73,033.20 and 30,564 is: 42,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920 : 73,033.20 = 30,564 : x
  2. Step 2: Convert to fraction form
    52,920/73,033.20 = 30,564/x
  3. Step 3: Cross multiply
    52,920x = 73,033.20 × 30,564
  4. Step 4: Simplify right side
    52,920x = 2,232,186,724.80
  5. Step 5: Solve for x
    x = 2,232,186,724.80/52,920
  6. Step 6: Final answer
    x = 42,180.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.