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Finding the Fourth Proportional to 78,821.84, 108,773.64 and 43,011.12

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Solution

The fourth proportional to 78,821.84, 108,773.64 and 43,011.12 is: 59,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821.84 : 108,773.64 = 43,011.12 : x
  2. Step 2: Convert to fraction form
    78,821.84/108,773.64 = 43,011.12/x
  3. Step 3: Cross multiply
    78,821.84x = 108,773.64 × 43,011.12
  4. Step 4: Simplify right side
    78,821.84x = 4,678,476,082.88
  5. Step 5: Solve for x
    x = 4,678,476,082.88/78,821.84
  6. Step 6: Final answer
    x = 59,355.07

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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.