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Finding the Fourth Proportional to 62,774, 86,635.80 and 36,278

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Solution

The fourth proportional to 62,774, 86,635.80 and 36,278 is: 50,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,774 : 86,635.80 = 36,278 : x
  2. Step 2: Convert to fraction form
    62,774/86,635.80 = 36,278/x
  3. Step 3: Cross multiply
    62,774x = 86,635.80 × 36,278
  4. Step 4: Simplify right side
    62,774x = 3,142,973,552.40
  5. Step 5: Solve for x
    x = 3,142,973,552.40/62,774
  6. Step 6: Final answer
    x = 50,068.08

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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.