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Finding the Fourth Proportional to 70,661.16, 105,992.34 and 20,742.08

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Solution

The fourth proportional to 70,661.16, 105,992.34 and 20,742.08 is: 31,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661.16 : 105,992.34 = 20,742.08 : x
  2. Step 2: Convert to fraction form
    70,661.16/105,992.34 = 20,742.08/x
  3. Step 3: Cross multiply
    70,661.16x = 105,992.34 × 20,742.08
  4. Step 4: Simplify right side
    70,661.16x = 2,198,501,595.67
  5. Step 5: Solve for x
    x = 2,198,501,595.67/70,661.16
  6. Step 6: Final answer
    x = 31,113.30

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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.