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Finding the Fourth Proportional to 120,597.84, 166,431.24 and 90,738

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Solution

The fourth proportional to 120,597.84, 166,431.24 and 90,738 is: 125,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,597.84 : 166,431.24 = 90,738 : x
  2. Step 2: Convert to fraction form
    120,597.84/166,431.24 = 90,738/x
  3. Step 3: Cross multiply
    120,597.84x = 166,431.24 × 90,738
  4. Step 4: Simplify right side
    120,597.84x = 15,101,637,855.12
  5. Step 5: Solve for x
    x = 15,101,637,855.12/120,597.84
  6. Step 6: Final answer
    x = 125,223.12

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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.