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Finding the Fourth Proportional to 117,966, 162,793.08 and 64,974

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Solution

The fourth proportional to 117,966, 162,793.08 and 64,974 is: 89,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,966 : 162,793.08 = 64,974 : x
  2. Step 2: Convert to fraction form
    117,966/162,793.08 = 64,974/x
  3. Step 3: Cross multiply
    117,966x = 162,793.08 × 64,974
  4. Step 4: Simplify right side
    117,966x = 10,577,317,579.92
  5. Step 5: Solve for x
    x = 10,577,317,579.92/117,966
  6. Step 6: Final answer
    x = 89,664.12

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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.