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Finding the Fourth Proportional to 96,874.60, 145,311.90 and 85,210.60

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Solution

The fourth proportional to 96,874.60, 145,311.90 and 85,210.60 is: 127,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,874.60 : 145,311.90 = 85,210.60 : x
  2. Step 2: Convert to fraction form
    96,874.60/145,311.90 = 85,210.60/x
  3. Step 3: Cross multiply
    96,874.60x = 145,311.90 × 85,210.60
  4. Step 4: Simplify right side
    96,874.60x = 12,382,114,186.14
  5. Step 5: Solve for x
    x = 12,382,114,186.14/96,874.60
  6. Step 6: Final answer
    x = 127,815.90

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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.