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Finding the Fourth Proportional to 75,339, 103,972.68 and 41,805

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Solution

The fourth proportional to 75,339, 103,972.68 and 41,805 is: 57,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,339 : 103,972.68 = 41,805 : x
  2. Step 2: Convert to fraction form
    75,339/103,972.68 = 41,805/x
  3. Step 3: Cross multiply
    75,339x = 103,972.68 × 41,805
  4. Step 4: Simplify right side
    75,339x = 4,346,577,887.40
  5. Step 5: Solve for x
    x = 4,346,577,887.40/75,339
  6. Step 6: Final answer
    x = 57,693.60

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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.