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Finding the Fourth Proportional to 70,965.75, 106,328.12 and 42,826.67

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Solution

The fourth proportional to 70,965.75, 106,328.12 and 42,826.67 is: 64,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965.75 : 106,328.12 = 42,826.67 : x
  2. Step 2: Convert to fraction form
    70,965.75/106,328.12 = 42,826.67/x
  3. Step 3: Cross multiply
    70,965.75x = 106,328.12 × 42,826.67
  4. Step 4: Simplify right side
    70,965.75x = 4,553,678,561.19
  5. Step 5: Solve for x
    x = 4,553,678,561.19/70,965.75
  6. Step 6: Final answer
    x = 64,167.27

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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.