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Finding the Fourth Proportional to 78,322.70, 108,082.43 and 42,511.95

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Solution

The fourth proportional to 78,322.70, 108,082.43 and 42,511.95 is: 58,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322.70 : 108,082.43 = 42,511.95 : x
  2. Step 2: Convert to fraction form
    78,322.70/108,082.43 = 42,511.95/x
  3. Step 3: Cross multiply
    78,322.70x = 108,082.43 × 42,511.95
  4. Step 4: Simplify right side
    78,322.70x = 4,594,794,647.48
  5. Step 5: Solve for x
    x = 4,594,794,647.48/78,322.70
  6. Step 6: Final answer
    x = 58,664.92

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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.