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Finding the Fourth Proportional to 65,428.98, 98,193.10 and 47,944.50

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Solution

The fourth proportional to 65,428.98, 98,193.10 and 47,944.50 is: 71,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428.98 : 98,193.10 = 47,944.50 : x
  2. Step 2: Convert to fraction form
    65,428.98/98,193.10 = 47,944.50/x
  3. Step 3: Cross multiply
    65,428.98x = 98,193.10 × 47,944.50
  4. Step 4: Simplify right side
    65,428.98x = 4,707,819,082.95
  5. Step 5: Solve for x
    x = 4,707,819,082.95/65,428.98
  6. Step 6: Final answer
    x = 71,953.12

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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.