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Finding the Fourth Proportional to 70,378.86, 105,570.07 and 20,459.42

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Solution

The fourth proportional to 70,378.86, 105,570.07 and 20,459.42 is: 30,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.86 : 105,570.07 = 20,459.42 : x
  2. Step 2: Convert to fraction form
    70,378.86/105,570.07 = 20,459.42/x
  3. Step 3: Cross multiply
    70,378.86x = 105,570.07 × 20,459.42
  4. Step 4: Simplify right side
    70,378.86x = 2,159,902,401.56
  5. Step 5: Solve for x
    x = 2,159,902,401.56/70,378.86
  6. Step 6: Final answer
    x = 30,689.65

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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.