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Finding the Fourth Proportional to 70,530.80, 105,814.42 and 26,170.20

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Solution

The fourth proportional to 70,530.80, 105,814.42 and 26,170.20 is: 39,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.80 : 105,814.42 = 26,170.20 : x
  2. Step 2: Convert to fraction form
    70,530.80/105,814.42 = 26,170.20/x
  3. Step 3: Cross multiply
    70,530.80x = 105,814.42 × 26,170.20
  4. Step 4: Simplify right side
    70,530.80x = 2,769,184,468.86
  5. Step 5: Solve for x
    x = 2,769,184,468.86/70,530.80
  6. Step 6: Final answer
    x = 39,262.06

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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.