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Finding the Fourth Proportional to 252,255, 378,384.12 and 65,268.12

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Solution

The fourth proportional to 252,255, 378,384.12 and 65,268.12 is: 97,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,255 : 378,384.12 = 65,268.12 : x
  2. Step 2: Convert to fraction form
    252,255/378,384.12 = 65,268.12/x
  3. Step 3: Cross multiply
    252,255x = 378,384.12 × 65,268.12
  4. Step 4: Simplify right side
    252,255x = 24,696,420,150.25
  5. Step 5: Solve for x
    x = 24,696,420,150.25/252,255
  6. Step 6: Final answer
    x = 97,902.60

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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.