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Finding the Fourth Proportional to 70,434.59, 105,658.43 and 25,467.21

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Solution

The fourth proportional to 70,434.59, 105,658.43 and 25,467.21 is: 38,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.59 : 105,658.43 = 25,467.21 : x
  2. Step 2: Convert to fraction form
    70,434.59/105,658.43 = 25,467.21/x
  3. Step 3: Cross multiply
    70,434.59x = 105,658.43 × 25,467.21
  4. Step 4: Simplify right side
    70,434.59x = 2,690,825,297.74
  5. Step 5: Solve for x
    x = 2,690,825,297.74/70,434.59
  6. Step 6: Final answer
    x = 38,203.18

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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.