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Finding the Fourth Proportional to 135,395.68, 186,847.51 and 74,967.42

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Solution

The fourth proportional to 135,395.68, 186,847.51 and 74,967.42 is: 103,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,395.68 : 186,847.51 = 74,967.42 : x
  2. Step 2: Convert to fraction form
    135,395.68/186,847.51 = 74,967.42/x
  3. Step 3: Cross multiply
    135,395.68x = 186,847.51 × 74,967.42
  4. Step 4: Simplify right side
    135,395.68x = 14,007,475,758.12
  5. Step 5: Solve for x
    x = 14,007,475,758.12/135,395.68
  6. Step 6: Final answer
    x = 103,455.85

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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.