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Finding the Fourth Proportional to 109,419.34, 163,986.44 and 49,403.20

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Solution

The fourth proportional to 109,419.34, 163,986.44 and 49,403.20 is: 74,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419.34 : 163,986.44 = 49,403.20 : x
  2. Step 2: Convert to fraction form
    109,419.34/163,986.44 = 49,403.20/x
  3. Step 3: Cross multiply
    109,419.34x = 163,986.44 × 49,403.20
  4. Step 4: Simplify right side
    109,419.34x = 8,101,454,892.61
  5. Step 5: Solve for x
    x = 8,101,454,892.61/109,419.34
  6. Step 6: Final answer
    x = 74,040.43

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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.