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Finding the Fourth Proportional to 109,489.30, 164,233.95 and 30,603.40

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Solution

The fourth proportional to 109,489.30, 164,233.95 and 30,603.40 is: 45,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,489.30 : 164,233.95 = 30,603.40 : x
  2. Step 2: Convert to fraction form
    109,489.30/164,233.95 = 30,603.40/x
  3. Step 3: Cross multiply
    109,489.30x = 164,233.95 × 30,603.40
  4. Step 4: Simplify right side
    109,489.30x = 5,026,117,265.43
  5. Step 5: Solve for x
    x = 5,026,117,265.43/109,489.30
  6. Step 6: Final answer
    x = 45,905.10

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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.