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Finding the Fourth Proportional to 133,619.60, 184,410.60 and 77,033

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Solution

The fourth proportional to 133,619.60, 184,410.60 and 77,033 is: 106,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,619.60 : 184,410.60 = 77,033 : x
  2. Step 2: Convert to fraction form
    133,619.60/184,410.60 = 77,033/x
  3. Step 3: Cross multiply
    133,619.60x = 184,410.60 × 77,033
  4. Step 4: Simplify right side
    133,619.60x = 14,205,701,749.80
  5. Step 5: Solve for x
    x = 14,205,701,749.80/133,619.60
  6. Step 6: Final answer
    x = 106,314.51

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1.5x scale

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.