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Finding the Fourth Proportional to 75,649.60, 104,399 and 41,661.64

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Solution

The fourth proportional to 75,649.60, 104,399 and 41,661.64 is: 57,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.60 : 104,399 = 41,661.64 : x
  2. Step 2: Convert to fraction form
    75,649.60/104,399 = 41,661.64/x
  3. Step 3: Cross multiply
    75,649.60x = 104,399 × 41,661.64
  4. Step 4: Simplify right side
    75,649.60x = 4,349,433,554.36
  5. Step 5: Solve for x
    x = 4,349,433,554.36/75,649.60
  6. Step 6: Final answer
    x = 57,494.47

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1.5x scale

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.