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Finding the Fourth Proportional to 135,401.82, 186,865.04 and 74,978.08

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Solution

The fourth proportional to 135,401.82, 186,865.04 and 74,978.08 is: 103,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,401.82 : 186,865.04 = 74,978.08 : x
  2. Step 2: Convert to fraction form
    135,401.82/186,865.04 = 74,978.08/x
  3. Step 3: Cross multiply
    135,401.82x = 186,865.04 × 74,978.08
  4. Step 4: Simplify right side
    135,401.82x = 14,010,781,918.32
  5. Step 5: Solve for x
    x = 14,010,781,918.32/135,401.82
  6. Step 6: Final answer
    x = 103,475.58

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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.