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Finding the Fourth Proportional to 75,879, 104,713.08 and 42,345

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Solution

The fourth proportional to 75,879, 104,713.08 and 42,345 is: 58,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879 : 104,713.08 = 42,345 : x
  2. Step 2: Convert to fraction form
    75,879/104,713.08 = 42,345/x
  3. Step 3: Cross multiply
    75,879x = 104,713.08 × 42,345
  4. Step 4: Simplify right side
    75,879x = 4,434,075,372.60
  5. Step 5: Solve for x
    x = 4,434,075,372.60/75,879
  6. Step 6: Final answer
    x = 58,436.13

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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.