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Finding the Fourth Proportional to 61,320, 84,621.68 and 34,824

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Solution

The fourth proportional to 61,320, 84,621.68 and 34,824 is: 48,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,320 : 84,621.68 = 34,824 : x
  2. Step 2: Convert to fraction form
    61,320/84,621.68 = 34,824/x
  3. Step 3: Cross multiply
    61,320x = 84,621.68 × 34,824
  4. Step 4: Simplify right side
    61,320x = 2,946,865,384.32
  5. Step 5: Solve for x
    x = 2,946,865,384.32/61,320
  6. Step 6: Final answer
    x = 48,057.17

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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.