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Finding the Fourth Proportional to 68,995.64, 103,399.86 and 31,509.24

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Solution

The fourth proportional to 68,995.64, 103,399.86 and 31,509.24 is: 47,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,995.64 : 103,399.86 = 31,509.24 : x
  2. Step 2: Convert to fraction form
    68,995.64/103,399.86 = 31,509.24/x
  3. Step 3: Cross multiply
    68,995.64x = 103,399.86 × 31,509.24
  4. Step 4: Simplify right side
    68,995.64x = 3,258,051,004.71
  5. Step 5: Solve for x
    x = 3,258,051,004.71/68,995.64
  6. Step 6: Final answer
    x = 47,221.11

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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.