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Finding the Fourth Proportional to 109,411.40, 164,114.70 and 30,523.40

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Solution

The fourth proportional to 109,411.40, 164,114.70 and 30,523.40 is: 45,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,411.40 : 164,114.70 = 30,523.40 : x
  2. Step 2: Convert to fraction form
    109,411.40/164,114.70 = 30,523.40/x
  3. Step 3: Cross multiply
    109,411.40x = 164,114.70 × 30,523.40
  4. Step 4: Simplify right side
    109,411.40x = 5,009,338,633.98
  5. Step 5: Solve for x
    x = 5,009,338,633.98/109,411.40
  6. Step 6: Final answer
    x = 45,784.43

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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.