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Finding the Fourth Proportional to 133,164.74, 183,745.50 and 78,709.34

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Solution

The fourth proportional to 133,164.74, 183,745.50 and 78,709.34 is: 108,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,164.74 : 183,745.50 = 78,709.34 : x
  2. Step 2: Convert to fraction form
    133,164.74/183,745.50 = 78,709.34/x
  3. Step 3: Cross multiply
    133,164.74x = 183,745.50 × 78,709.34
  4. Step 4: Simplify right side
    133,164.74x = 14,462,486,114.24
  5. Step 5: Solve for x
    x = 14,462,486,114.24/133,164.74
  6. Step 6: Final answer
    x = 108,605.98

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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.