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Finding the Fourth Proportional to 135,094.87, 186,438 and 77,742.93

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Solution

The fourth proportional to 135,094.87, 186,438 and 77,742.93 is: 107,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,094.87 : 186,438 = 77,742.93 : x
  2. Step 2: Convert to fraction form
    135,094.87/186,438 = 77,742.93/x
  3. Step 3: Cross multiply
    135,094.87x = 186,438 × 77,742.93
  4. Step 4: Simplify right side
    135,094.87x = 14,494,236,383.34
  5. Step 5: Solve for x
    x = 14,494,236,383.34/135,094.87
  6. Step 6: Final answer
    x = 107,289.32

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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.