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Finding the Fourth Proportional to 70,389.32, 105,509.82 and 25,987.64

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Solution

The fourth proportional to 70,389.32, 105,509.82 and 25,987.64 is: 38,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389.32 : 105,509.82 = 25,987.64 : x
  2. Step 2: Convert to fraction form
    70,389.32/105,509.82 = 25,987.64/x
  3. Step 3: Cross multiply
    70,389.32x = 105,509.82 × 25,987.64
  4. Step 4: Simplify right side
    70,389.32x = 2,741,951,218.62
  5. Step 5: Solve for x
    x = 2,741,951,218.62/70,389.32
  6. Step 6: Final answer
    x = 38,954.08

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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.