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Finding the Fourth Proportional to 70,421.67, 105,649.83 and 20,502.20

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Solution

The fourth proportional to 70,421.67, 105,649.83 and 20,502.20 is: 30,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,421.67 : 105,649.83 = 20,502.20 : x
  2. Step 2: Convert to fraction form
    70,421.67/105,649.83 = 20,502.20/x
  3. Step 3: Cross multiply
    70,421.67x = 105,649.83 × 20,502.20
  4. Step 4: Simplify right side
    70,421.67x = 2,166,054,208.75
  5. Step 5: Solve for x
    x = 2,166,054,208.75/70,421.67
  6. Step 6: Final answer
    x = 30,758.35

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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.