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Finding the Fourth Proportional to 132,709.20, 199,063.80 and 70,501.20

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Solution

The fourth proportional to 132,709.20, 199,063.80 and 70,501.20 is: 105,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,709.20 : 199,063.80 = 70,501.20 : x
  2. Step 2: Convert to fraction form
    132,709.20/199,063.80 = 70,501.20/x
  3. Step 3: Cross multiply
    132,709.20x = 199,063.80 × 70,501.20
  4. Step 4: Simplify right side
    132,709.20x = 14,034,236,776.56
  5. Step 5: Solve for x
    x = 14,034,236,776.56/132,709.20
  6. Step 6: Final answer
    x = 105,751.80

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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.