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Finding the Fourth Proportional to 122,409.70, 183,614.55 and 92,885.20

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Solution

The fourth proportional to 122,409.70, 183,614.55 and 92,885.20 is: 139,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,409.70 : 183,614.55 = 92,885.20 : x
  2. Step 2: Convert to fraction form
    122,409.70/183,614.55 = 92,885.20/x
  3. Step 3: Cross multiply
    122,409.70x = 183,614.55 × 92,885.20
  4. Step 4: Simplify right side
    122,409.70x = 17,055,074,199.66
  5. Step 5: Solve for x
    x = 17,055,074,199.66/122,409.70
  6. Step 6: Final answer
    x = 139,327.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.