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Finding the Fourth Proportional to 130,843, 180,563.34 and 71,227

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Solution

The fourth proportional to 130,843, 180,563.34 and 71,227 is: 98,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,843 : 180,563.34 = 71,227 : x
  2. Step 2: Convert to fraction form
    130,843/180,563.34 = 71,227/x
  3. Step 3: Cross multiply
    130,843x = 180,563.34 × 71,227
  4. Step 4: Simplify right side
    130,843x = 12,860,985,018.18
  5. Step 5: Solve for x
    x = 12,860,985,018.18/130,843
  6. Step 6: Final answer
    x = 98,293.26

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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.