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Finding the Fourth Proportional to 89,274.40, 123,193.12 and 48,980

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Solution

The fourth proportional to 89,274.40, 123,193.12 and 48,980 is: 67,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,274.40 : 123,193.12 = 48,980 : x
  2. Step 2: Convert to fraction form
    89,274.40/123,193.12 = 48,980/x
  3. Step 3: Cross multiply
    89,274.40x = 123,193.12 × 48,980
  4. Step 4: Simplify right side
    89,274.40x = 6,033,999,017.60
  5. Step 5: Solve for x
    x = 6,033,999,017.60/89,274.40
  6. Step 6: Final answer
    x = 67,589.35

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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.