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Finding the Fourth Proportional to 70,377.86, 105,568.57 and 20,458.42

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Solution

The fourth proportional to 70,377.86, 105,568.57 and 20,458.42 is: 30,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,377.86 : 105,568.57 = 20,458.42 : x
  2. Step 2: Convert to fraction form
    70,377.86/105,568.57 = 20,458.42/x
  3. Step 3: Cross multiply
    70,377.86x = 105,568.57 × 20,458.42
  4. Step 4: Simplify right side
    70,377.86x = 2,159,766,384.26
  5. Step 5: Solve for x
    x = 2,159,766,384.26/70,377.86
  6. Step 6: Final answer
    x = 30,688.15

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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.