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Finding the Fourth Proportional to 133,627.60, 184,421.64 and 77,041

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Solution

The fourth proportional to 133,627.60, 184,421.64 and 77,041 is: 106,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,627.60 : 184,421.64 = 77,041 : x
  2. Step 2: Convert to fraction form
    133,627.60/184,421.64 = 77,041/x
  3. Step 3: Cross multiply
    133,627.60x = 184,421.64 × 77,041
  4. Step 4: Simplify right side
    133,627.60x = 14,208,027,567.24
  5. Step 5: Solve for x
    x = 14,208,027,567.24/133,627.60
  6. Step 6: Final answer
    x = 106,325.55

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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.