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Finding the Fourth Proportional to 65,153.76, 89,856.69 and 50,082.90

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Solution

The fourth proportional to 65,153.76, 89,856.69 and 50,082.90 is: 69,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.76 : 89,856.69 = 50,082.90 : x
  2. Step 2: Convert to fraction form
    65,153.76/89,856.69 = 50,082.90/x
  3. Step 3: Cross multiply
    65,153.76x = 89,856.69 × 50,082.90
  4. Step 4: Simplify right side
    65,153.76x = 4,500,283,619.60
  5. Step 5: Solve for x
    x = 4,500,283,619.60/65,153.76
  6. Step 6: Final answer
    x = 69,071.74

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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.