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Finding the Fourth Proportional to 119,270, 164,592.92 and 66,278

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Solution

The fourth proportional to 119,270, 164,592.92 and 66,278 is: 91,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,270 : 164,592.92 = 66,278 : x
  2. Step 2: Convert to fraction form
    119,270/164,592.92 = 66,278/x
  3. Step 3: Cross multiply
    119,270x = 164,592.92 × 66,278
  4. Step 4: Simplify right side
    119,270x = 10,908,889,551.76
  5. Step 5: Solve for x
    x = 10,908,889,551.76/119,270
  6. Step 6: Final answer
    x = 91,463.82

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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.