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Finding the Fourth Proportional to 70,899.36, 106,358.76 and 31,455.60

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Solution

The fourth proportional to 70,899.36, 106,358.76 and 31,455.60 is: 47,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,899.36 : 106,358.76 = 31,455.60 : x
  2. Step 2: Convert to fraction form
    70,899.36/106,358.76 = 31,455.60/x
  3. Step 3: Cross multiply
    70,899.36x = 106,358.76 × 31,455.60
  4. Step 4: Simplify right side
    70,899.36x = 3,345,578,611.06
  5. Step 5: Solve for x
    x = 3,345,578,611.06/70,899.36
  6. Step 6: Final answer
    x = 47,187.71

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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.