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Finding the Fourth Proportional to 70,642.64, 105,936.15 and 25,653.35

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Solution

The fourth proportional to 70,642.64, 105,936.15 and 25,653.35 is: 38,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.64 : 105,936.15 = 25,653.35 : x
  2. Step 2: Convert to fraction form
    70,642.64/105,936.15 = 25,653.35/x
  3. Step 3: Cross multiply
    70,642.64x = 105,936.15 × 25,653.35
  4. Step 4: Simplify right side
    70,642.64x = 2,717,617,133.60
  5. Step 5: Solve for x
    x = 2,717,617,133.60/70,642.64
  6. Step 6: Final answer
    x = 38,469.93

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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.