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Finding the Fourth Proportional to 78,971.68, 118,377.69 and 34,022.35

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Solution

The fourth proportional to 78,971.68, 118,377.69 and 34,022.35 is: 50,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,971.68 : 118,377.69 = 34,022.35 : x
  2. Step 2: Convert to fraction form
    78,971.68/118,377.69 = 34,022.35/x
  3. Step 3: Cross multiply
    78,971.68x = 118,377.69 × 34,022.35
  4. Step 4: Simplify right side
    78,971.68x = 4,027,487,201.37
  5. Step 5: Solve for x
    x = 4,027,487,201.37/78,971.68
  6. Step 6: Final answer
    x = 50,999.13

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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.