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Finding the Fourth Proportional to 70,388.82, 105,509.07 and 25,987.14

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Solution

The fourth proportional to 70,388.82, 105,509.07 and 25,987.14 is: 38,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,388.82 : 105,509.07 = 25,987.14 : x
  2. Step 2: Convert to fraction form
    70,388.82/105,509.07 = 25,987.14/x
  3. Step 3: Cross multiply
    70,388.82x = 105,509.07 × 25,987.14
  4. Step 4: Simplify right side
    70,388.82x = 2,741,878,973.36
  5. Step 5: Solve for x
    x = 2,741,878,973.36/70,388.82
  6. Step 6: Final answer
    x = 38,953.33

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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.