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Finding the Fourth Proportional to 186,039, 279,058.52 and 54,711

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Solution

The fourth proportional to 186,039, 279,058.52 and 54,711 is: 82,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,039 : 279,058.52 = 54,711 : x
  2. Step 2: Convert to fraction form
    186,039/279,058.52 = 54,711/x
  3. Step 3: Cross multiply
    186,039x = 279,058.52 × 54,711
  4. Step 4: Simplify right side
    186,039x = 15,267,570,414.17
  5. Step 5: Solve for x
    x = 15,267,570,414.17/186,039
  6. Step 6: Final answer
    x = 82,066.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.