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Finding the Fourth Proportional to 75,663, 104,418.18 and 42,129

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Solution

The fourth proportional to 75,663, 104,418.18 and 42,129 is: 58,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,663 : 104,418.18 = 42,129 : x
  2. Step 2: Convert to fraction form
    75,663/104,418.18 = 42,129/x
  3. Step 3: Cross multiply
    75,663x = 104,418.18 × 42,129
  4. Step 4: Simplify right side
    75,663x = 4,399,033,505.22
  5. Step 5: Solve for x
    x = 4,399,033,505.22/75,663
  6. Step 6: Final answer
    x = 58,139.82

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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.