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Finding the Fourth Proportional to 116,138.75, 174,090.47 and 78,702.60

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Solution

The fourth proportional to 116,138.75, 174,090.47 and 78,702.60 is: 117,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138.75 : 174,090.47 = 78,702.60 : x
  2. Step 2: Convert to fraction form
    116,138.75/174,090.47 = 78,702.60/x
  3. Step 3: Cross multiply
    116,138.75x = 174,090.47 × 78,702.60
  4. Step 4: Simplify right side
    116,138.75x = 13,701,372,883.55
  5. Step 5: Solve for x
    x = 13,701,372,883.55/116,138.75
  6. Step 6: Final answer
    x = 117,974.18

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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.