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Finding the Fourth Proportional to 40,821.60, 61,203.60 and 18,645.60

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Solution

The fourth proportional to 40,821.60, 61,203.60 and 18,645.60 is: 27,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,821.60 : 61,203.60 = 18,645.60 : x
  2. Step 2: Convert to fraction form
    40,821.60/61,203.60 = 18,645.60/x
  3. Step 3: Cross multiply
    40,821.60x = 61,203.60 × 18,645.60
  4. Step 4: Simplify right side
    40,821.60x = 1,141,177,844.16
  5. Step 5: Solve for x
    x = 1,141,177,844.16/40,821.60
  6. Step 6: Final answer
    x = 27,955.25

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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.