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Finding the Fourth Proportional to 120,700.50, 166,572.40 and 66,985.98

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Solution

The fourth proportional to 120,700.50, 166,572.40 and 66,985.98 is: 92,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,700.50 : 166,572.40 = 66,985.98 : x
  2. Step 2: Convert to fraction form
    120,700.50/166,572.40 = 66,985.98/x
  3. Step 3: Cross multiply
    120,700.50x = 166,572.40 × 66,985.98
  4. Step 4: Simplify right side
    120,700.50x = 11,158,015,454.95
  5. Step 5: Solve for x
    x = 11,158,015,454.95/120,700.50
  6. Step 6: Final answer
    x = 92,443.82

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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.