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Finding the Fourth Proportional to 82,575.07, 113,980.64 and 75,349.78

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Solution

The fourth proportional to 82,575.07, 113,980.64 and 75,349.78 is: 104,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.07 : 113,980.64 = 75,349.78 : x
  2. Step 2: Convert to fraction form
    82,575.07/113,980.64 = 75,349.78/x
  3. Step 3: Cross multiply
    82,575.07x = 113,980.64 × 75,349.78
  4. Step 4: Simplify right side
    82,575.07x = 8,588,415,486.56
  5. Step 5: Solve for x
    x = 8,588,415,486.56/82,575.07
  6. Step 6: Final answer
    x = 104,007.37

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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.