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Finding the Fourth Proportional to 133,698.40, 184,480.40 and 76,311.52

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Solution

The fourth proportional to 133,698.40, 184,480.40 and 76,311.52 is: 105,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,698.40 : 184,480.40 = 76,311.52 : x
  2. Step 2: Convert to fraction form
    133,698.40/184,480.40 = 76,311.52/x
  3. Step 3: Cross multiply
    133,698.40x = 184,480.40 × 76,311.52
  4. Step 4: Simplify right side
    133,698.40x = 14,077,979,463.79
  5. Step 5: Solve for x
    x = 14,077,979,463.79/133,698.40
  6. Step 6: Final answer
    x = 105,296.55

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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.