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Finding the Fourth Proportional to 89,280.40, 123,201.40 and 48,986

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Solution

The fourth proportional to 89,280.40, 123,201.40 and 48,986 is: 67,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,280.40 : 123,201.40 = 48,986 : x
  2. Step 2: Convert to fraction form
    89,280.40/123,201.40 = 48,986/x
  3. Step 3: Cross multiply
    89,280.40x = 123,201.40 × 48,986
  4. Step 4: Simplify right side
    89,280.40x = 6,035,143,780.40
  5. Step 5: Solve for x
    x = 6,035,143,780.40/89,280.40
  6. Step 6: Final answer
    x = 67,597.63

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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.