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Finding the Fourth Proportional to 70,589.48, 105,876.47 and 20,670.06

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Solution

The fourth proportional to 70,589.48, 105,876.47 and 20,670.06 is: 31,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,589.48 : 105,876.47 = 20,670.06 : x
  2. Step 2: Convert to fraction form
    70,589.48/105,876.47 = 20,670.06/x
  3. Step 3: Cross multiply
    70,589.48x = 105,876.47 × 20,670.06
  4. Step 4: Simplify right side
    70,589.48x = 2,188,472,884.14
  5. Step 5: Solve for x
    x = 2,188,472,884.14/70,589.48
  6. Step 6: Final answer
    x = 31,002.82

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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.