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Finding the Fourth Proportional to 120,859.30, 166,809.69 and 77,223.94

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Solution

The fourth proportional to 120,859.30, 166,809.69 and 77,223.94 is: 106,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.30 : 166,809.69 = 77,223.94 : x
  2. Step 2: Convert to fraction form
    120,859.30/166,809.69 = 77,223.94/x
  3. Step 3: Cross multiply
    120,859.30x = 166,809.69 × 77,223.94
  4. Step 4: Simplify right side
    120,859.30x = 12,881,701,491.98
  5. Step 5: Solve for x
    x = 12,881,701,491.98/120,859.30
  6. Step 6: Final answer
    x = 106,584.28

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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.