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Finding the Fourth Proportional to 120,362.04, 166,072.14 and 77,364

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Solution

The fourth proportional to 120,362.04, 166,072.14 and 77,364 is: 106,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362.04 : 166,072.14 = 77,364 : x
  2. Step 2: Convert to fraction form
    120,362.04/166,072.14 = 77,364/x
  3. Step 3: Cross multiply
    120,362.04x = 166,072.14 × 77,364
  4. Step 4: Simplify right side
    120,362.04x = 12,848,005,038.96
  5. Step 5: Solve for x
    x = 12,848,005,038.96/120,362.04
  6. Step 6: Final answer
    x = 106,744.66

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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.