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Finding the Fourth Proportional to 133,790.31, 184,629.11 and 77,200.47

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Solution

The fourth proportional to 133,790.31, 184,629.11 and 77,200.47 is: 106,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,790.31 : 184,629.11 = 77,200.47 : x
  2. Step 2: Convert to fraction form
    133,790.31/184,629.11 = 77,200.47/x
  3. Step 3: Cross multiply
    133,790.31x = 184,629.11 × 77,200.47
  4. Step 4: Simplify right side
    133,790.31x = 14,253,453,681.68
  5. Step 5: Solve for x
    x = 14,253,453,681.68/133,790.31
  6. Step 6: Final answer
    x = 106,535.77

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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.