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Finding the Fourth Proportional to 120,312, 166,034.07 and 66,601.98

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Solution

The fourth proportional to 120,312, 166,034.07 and 66,601.98 is: 91,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,312 : 166,034.07 = 66,601.98 : x
  2. Step 2: Convert to fraction form
    120,312/166,034.07 = 66,601.98/x
  3. Step 3: Cross multiply
    120,312x = 166,034.07 × 66,601.98
  4. Step 4: Simplify right side
    120,312x = 11,058,197,809.46
  5. Step 5: Solve for x
    x = 11,058,197,809.46/120,312
  6. Step 6: Final answer
    x = 91,912.68

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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.