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Finding the Fourth Proportional to 135,008, 186,309.12 and 78,451.20

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Solution

The fourth proportional to 135,008, 186,309.12 and 78,451.20 is: 108,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,008 : 186,309.12 = 78,451.20 : x
  2. Step 2: Convert to fraction form
    135,008/186,309.12 = 78,451.20/x
  3. Step 3: Cross multiply
    135,008x = 186,309.12 × 78,451.20
  4. Step 4: Simplify right side
    135,008x = 14,616,174,034.94
  5. Step 5: Solve for x
    x = 14,616,174,034.94/135,008
  6. Step 6: Final answer
    x = 108,261.54

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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.