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Finding the Fourth Proportional to 109,433.70, 164,053.35 and 72,011.70

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Solution

The fourth proportional to 109,433.70, 164,053.35 and 72,011.70 is: 107,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,433.70 : 164,053.35 = 72,011.70 : x
  2. Step 2: Convert to fraction form
    109,433.70/164,053.35 = 72,011.70/x
  3. Step 3: Cross multiply
    109,433.70x = 164,053.35 × 72,011.70
  4. Step 4: Simplify right side
    109,433.70x = 11,813,760,624.20
  5. Step 5: Solve for x
    x = 11,813,760,624.20/109,433.70
  6. Step 6: Final answer
    x = 107,953.59

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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.