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Finding the Fourth Proportional to 75,486.63, 113,165.13 and 42,179.43

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Solution

The fourth proportional to 75,486.63, 113,165.13 and 42,179.43 is: 63,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.63 : 113,165.13 = 42,179.43 : x
  2. Step 2: Convert to fraction form
    75,486.63/113,165.13 = 42,179.43/x
  3. Step 3: Cross multiply
    75,486.63x = 113,165.13 × 42,179.43
  4. Step 4: Simplify right side
    75,486.63x = 4,773,240,679.28
  5. Step 5: Solve for x
    x = 4,773,240,679.28/75,486.63
  6. Step 6: Final answer
    x = 63,232.93

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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.