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Finding the Fourth Proportional to 78,885.34, 108,896.94 and 61,383.06

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Solution

The fourth proportional to 78,885.34, 108,896.94 and 61,383.06 is: 84,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,885.34 : 108,896.94 = 61,383.06 : x
  2. Step 2: Convert to fraction form
    78,885.34/108,896.94 = 61,383.06/x
  3. Step 3: Cross multiply
    78,885.34x = 108,896.94 × 61,383.06
  4. Step 4: Simplify right side
    78,885.34x = 6,684,427,401.84
  5. Step 5: Solve for x
    x = 6,684,427,401.84/78,885.34
  6. Step 6: Final answer
    x = 84,735.99

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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.