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Finding the Fourth Proportional to 116,832, 161,228.16 and 63,840

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Solution

The fourth proportional to 116,832, 161,228.16 and 63,840 is: 88,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,832 : 161,228.16 = 63,840 : x
  2. Step 2: Convert to fraction form
    116,832/161,228.16 = 63,840/x
  3. Step 3: Cross multiply
    116,832x = 161,228.16 × 63,840
  4. Step 4: Simplify right side
    116,832x = 10,292,805,734.40
  5. Step 5: Solve for x
    x = 10,292,805,734.40/116,832
  6. Step 6: Final answer
    x = 88,099.20

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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.