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Finding the Fourth Proportional to 65,137.56, 89,888.24 and 36,457.60

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Solution

The fourth proportional to 65,137.56, 89,888.24 and 36,457.60 is: 50,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.56 : 89,888.24 = 36,457.60 : x
  2. Step 2: Convert to fraction form
    65,137.56/89,888.24 = 36,457.60/x
  3. Step 3: Cross multiply
    65,137.56x = 89,888.24 × 36,457.60
  4. Step 4: Simplify right side
    65,137.56x = 3,277,109,498.62
  5. Step 5: Solve for x
    x = 3,277,109,498.62/65,137.56
  6. Step 6: Final answer
    x = 50,310.60

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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.