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Finding the Fourth Proportional to 65,140.88, 89,888.13 and 36,459.05

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Solution

The fourth proportional to 65,140.88, 89,888.13 and 36,459.05 is: 50,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.88 : 89,888.13 = 36,459.05 : x
  2. Step 2: Convert to fraction form
    65,140.88/89,888.13 = 36,459.05/x
  3. Step 3: Cross multiply
    65,140.88x = 89,888.13 × 36,459.05
  4. Step 4: Simplify right side
    65,140.88x = 3,277,235,376.64
  5. Step 5: Solve for x
    x = 3,277,235,376.64/65,140.88
  6. Step 6: Final answer
    x = 50,309.97

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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.