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Finding the Fourth Proportional to 89,204.40, 133,745.76 and 42,462

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Solution

The fourth proportional to 89,204.40, 133,745.76 and 42,462 is: 63,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,204.40 : 133,745.76 = 42,462 : x
  2. Step 2: Convert to fraction form
    89,204.40/133,745.76 = 42,462/x
  3. Step 3: Cross multiply
    89,204.40x = 133,745.76 × 42,462
  4. Step 4: Simplify right side
    89,204.40x = 5,679,112,461.12
  5. Step 5: Solve for x
    x = 5,679,112,461.12/89,204.40
  6. Step 6: Final answer
    x = 63,664.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.