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Finding the Fourth Proportional to 99,729.70, 149,667.45 and 70,205.20

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Solution

The fourth proportional to 99,729.70, 149,667.45 and 70,205.20 is: 105,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,729.70 : 149,667.45 = 70,205.20 : x
  2. Step 2: Convert to fraction form
    99,729.70/149,667.45 = 70,205.20/x
  3. Step 3: Cross multiply
    99,729.70x = 149,667.45 × 70,205.20
  4. Step 4: Simplify right side
    99,729.70x = 10,507,433,260.74
  5. Step 5: Solve for x
    x = 10,507,433,260.74/99,729.70
  6. Step 6: Final answer
    x = 105,359.12

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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.