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Finding the Fourth Proportional to 88,465, 122,082.42 and 48,721

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Solution

The fourth proportional to 88,465, 122,082.42 and 48,721 is: 67,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,465 : 122,082.42 = 48,721 : x
  2. Step 2: Convert to fraction form
    88,465/122,082.42 = 48,721/x
  3. Step 3: Cross multiply
    88,465x = 122,082.42 × 48,721
  4. Step 4: Simplify right side
    88,465x = 5,947,977,584.82
  5. Step 5: Solve for x
    x = 5,947,977,584.82/88,465
  6. Step 6: Final answer
    x = 67,235.38

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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.