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Finding the Fourth Proportional to 98,280, 147,420 and 32,616

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Solution

The fourth proportional to 98,280, 147,420 and 32,616 is: 48,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,280 : 147,420 = 32,616 : x
  2. Step 2: Convert to fraction form
    98,280/147,420 = 32,616/x
  3. Step 3: Cross multiply
    98,280x = 147,420 × 32,616
  4. Step 4: Simplify right side
    98,280x = 4,808,250,720
  5. Step 5: Solve for x
    x = 4,808,250,720/98,280
  6. Step 6: Final answer
    x = 48,924

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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.