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Finding the Fourth Proportional to 70,605.36, 105,843.12 and 30,599.25

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Solution

The fourth proportional to 70,605.36, 105,843.12 and 30,599.25 is: 45,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605.36 : 105,843.12 = 30,599.25 : x
  2. Step 2: Convert to fraction form
    70,605.36/105,843.12 = 30,599.25/x
  3. Step 3: Cross multiply
    70,605.36x = 105,843.12 × 30,599.25
  4. Step 4: Simplify right side
    70,605.36x = 3,238,720,089.66
  5. Step 5: Solve for x
    x = 3,238,720,089.66/70,605.36
  6. Step 6: Final answer
    x = 45,870.74

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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.