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Finding the Fourth Proportional to 78,764.94, 118,015.89 and 55,349.46

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Solution

The fourth proportional to 78,764.94, 118,015.89 and 55,349.46 is: 82,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,764.94 : 118,015.89 = 55,349.46 : x
  2. Step 2: Convert to fraction form
    78,764.94/118,015.89 = 55,349.46/x
  3. Step 3: Cross multiply
    78,764.94x = 118,015.89 × 55,349.46
  4. Step 4: Simplify right side
    78,764.94x = 6,532,115,782.92
  5. Step 5: Solve for x
    x = 6,532,115,782.92/78,764.94
  6. Step 6: Final answer
    x = 82,931.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.