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Finding the Fourth Proportional to 90,362.18, 135,418.64 and 65,201.76

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Solution

The fourth proportional to 90,362.18, 135,418.64 and 65,201.76 is: 97,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,362.18 : 135,418.64 = 65,201.76 : x
  2. Step 2: Convert to fraction form
    90,362.18/135,418.64 = 65,201.76/x
  3. Step 3: Cross multiply
    90,362.18x = 135,418.64 × 65,201.76
  4. Step 4: Simplify right side
    90,362.18x = 8,829,533,338.80
  5. Step 5: Solve for x
    x = 8,829,533,338.80/90,362.18
  6. Step 6: Final answer
    x = 97,712.71

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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.