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Finding the Fourth Proportional to 133,678.44, 184,463.98 and 77,078.88

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Solution

The fourth proportional to 133,678.44, 184,463.98 and 77,078.88 is: 106,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,678.44 : 184,463.98 = 77,078.88 : x
  2. Step 2: Convert to fraction form
    133,678.44/184,463.98 = 77,078.88/x
  3. Step 3: Cross multiply
    133,678.44x = 184,463.98 × 77,078.88
  4. Step 4: Simplify right side
    133,678.44x = 14,218,276,978.74
  5. Step 5: Solve for x
    x = 14,218,276,978.74/133,678.44
  6. Step 6: Final answer
    x = 106,361.78

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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.