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Finding the Fourth Proportional to 109,633.70, 164,515.35 and 72,301.70

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Solution

The fourth proportional to 109,633.70, 164,515.35 and 72,301.70 is: 108,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,633.70 : 164,515.35 = 72,301.70 : x
  2. Step 2: Convert to fraction form
    109,633.70/164,515.35 = 72,301.70/x
  3. Step 3: Cross multiply
    109,633.70x = 164,515.35 × 72,301.70
  4. Step 4: Simplify right side
    109,633.70x = 11,894,739,481.10
  5. Step 5: Solve for x
    x = 11,894,739,481.10/109,633.70
  6. Step 6: Final answer
    x = 108,495.28

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1.5x scale

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.