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Finding the Fourth Proportional to 107,916.60, 161,874.90 and 85,609.20

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Solution

The fourth proportional to 107,916.60, 161,874.90 and 85,609.20 is: 128,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,916.60 : 161,874.90 = 85,609.20 : x
  2. Step 2: Convert to fraction form
    107,916.60/161,874.90 = 85,609.20/x
  3. Step 3: Cross multiply
    107,916.60x = 161,874.90 × 85,609.20
  4. Step 4: Simplify right side
    107,916.60x = 13,857,980,689.08
  5. Step 5: Solve for x
    x = 13,857,980,689.08/107,916.60
  6. Step 6: Final answer
    x = 128,413.80

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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.