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Finding the Fourth Proportional to 120,314.98, 166,038.59 and 69,323.76

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Solution

The fourth proportional to 120,314.98, 166,038.59 and 69,323.76 is: 95,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,314.98 : 166,038.59 = 69,323.76 : x
  2. Step 2: Convert to fraction form
    120,314.98/166,038.59 = 69,323.76/x
  3. Step 3: Cross multiply
    120,314.98x = 166,038.59 × 69,323.76
  4. Step 4: Simplify right side
    120,314.98x = 11,510,419,537.21
  5. Step 5: Solve for x
    x = 11,510,419,537.21/120,314.98
  6. Step 6: Final answer
    x = 95,669.05

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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.