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Finding the Fourth Proportional to 85,909.44, 118,530.72 and 55,696

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Solution

The fourth proportional to 85,909.44, 118,530.72 and 55,696 is: 76,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,909.44 : 118,530.72 = 55,696 : x
  2. Step 2: Convert to fraction form
    85,909.44/118,530.72 = 55,696/x
  3. Step 3: Cross multiply
    85,909.44x = 118,530.72 × 55,696
  4. Step 4: Simplify right side
    85,909.44x = 6,601,686,981.12
  5. Step 5: Solve for x
    x = 6,601,686,981.12/85,909.44
  6. Step 6: Final answer
    x = 76,844.72

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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.