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Finding the Fourth Proportional to 119,522, 164,940.36 and 66,530

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Solution

The fourth proportional to 119,522, 164,940.36 and 66,530 is: 91,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,522 : 164,940.36 = 66,530 : x
  2. Step 2: Convert to fraction form
    119,522/164,940.36 = 66,530/x
  3. Step 3: Cross multiply
    119,522x = 164,940.36 × 66,530
  4. Step 4: Simplify right side
    119,522x = 10,973,482,150.80
  5. Step 5: Solve for x
    x = 10,973,482,150.80/119,522
  6. Step 6: Final answer
    x = 91,811.40

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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.