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Finding the Fourth Proportional to 107,820.60, 161,730.90 and 80,172.60

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Solution

The fourth proportional to 107,820.60, 161,730.90 and 80,172.60 is: 120,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,820.60 : 161,730.90 = 80,172.60 : x
  2. Step 2: Convert to fraction form
    107,820.60/161,730.90 = 80,172.60/x
  3. Step 3: Cross multiply
    107,820.60x = 161,730.90 × 80,172.60
  4. Step 4: Simplify right side
    107,820.60x = 12,966,386,753.34
  5. Step 5: Solve for x
    x = 12,966,386,753.34/107,820.60
  6. Step 6: Final answer
    x = 120,258.90

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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.