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Finding the Fourth Proportional to 70,153.62, 105,256.35 and 25,809.36

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Solution

The fourth proportional to 70,153.62, 105,256.35 and 25,809.36 is: 38,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,153.62 : 105,256.35 = 25,809.36 : x
  2. Step 2: Convert to fraction form
    70,153.62/105,256.35 = 25,809.36/x
  3. Step 3: Cross multiply
    70,153.62x = 105,256.35 × 25,809.36
  4. Step 4: Simplify right side
    70,153.62x = 2,716,599,029.44
  5. Step 5: Solve for x
    x = 2,716,599,029.44/70,153.62
  6. Step 6: Final answer
    x = 38,723.58

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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.