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Finding the Fourth Proportional to 75,847, 104,669.40 and 42,313

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Solution

The fourth proportional to 75,847, 104,669.40 and 42,313 is: 58,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,847 : 104,669.40 = 42,313 : x
  2. Step 2: Convert to fraction form
    75,847/104,669.40 = 42,313/x
  3. Step 3: Cross multiply
    75,847x = 104,669.40 × 42,313
  4. Step 4: Simplify right side
    75,847x = 4,428,876,322.20
  5. Step 5: Solve for x
    x = 4,428,876,322.20/75,847
  6. Step 6: Final answer
    x = 58,392.24

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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.