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Finding the Fourth Proportional to 135,468.64, 186,830.88 and 81,742.24

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Solution

The fourth proportional to 135,468.64, 186,830.88 and 81,742.24 is: 112,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468.64 : 186,830.88 = 81,742.24 : x
  2. Step 2: Convert to fraction form
    135,468.64/186,830.88 = 81,742.24/x
  3. Step 3: Cross multiply
    135,468.64x = 186,830.88 × 81,742.24
  4. Step 4: Simplify right side
    135,468.64x = 15,271,974,632.37
  5. Step 5: Solve for x
    x = 15,271,974,632.37/135,468.64
  6. Step 6: Final answer
    x = 112,734.39

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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.