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Finding the Fourth Proportional to 70,213.74, 105,310.23 and 25,830.11

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Solution

The fourth proportional to 70,213.74, 105,310.23 and 25,830.11 is: 38,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,213.74 : 105,310.23 = 25,830.11 : x
  2. Step 2: Convert to fraction form
    70,213.74/105,310.23 = 25,830.11/x
  3. Step 3: Cross multiply
    70,213.74x = 105,310.23 × 25,830.11
  4. Step 4: Simplify right side
    70,213.74x = 2,720,174,825.03
  5. Step 5: Solve for x
    x = 2,720,174,825.03/70,213.74
  6. Step 6: Final answer
    x = 38,741.35

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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.