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Finding the Fourth Proportional to 47,807.36, 65,928.36 and 31,649.08

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Solution

The fourth proportional to 47,807.36, 65,928.36 and 31,649.08 is: 43,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.36 : 65,928.36 = 31,649.08 : x
  2. Step 2: Convert to fraction form
    47,807.36/65,928.36 = 31,649.08/x
  3. Step 3: Cross multiply
    47,807.36x = 65,928.36 × 31,649.08
  4. Step 4: Simplify right side
    47,807.36x = 2,086,571,939.91
  5. Step 5: Solve for x
    x = 2,086,571,939.91/47,807.36
  6. Step 6: Final answer
    x = 43,645.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.