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Finding the Fourth Proportional to 134,158, 185,138.08 and 74,542

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Solution

The fourth proportional to 134,158, 185,138.08 and 74,542 is: 102,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,158 : 185,138.08 = 74,542 : x
  2. Step 2: Convert to fraction form
    134,158/185,138.08 = 74,542/x
  3. Step 3: Cross multiply
    134,158x = 185,138.08 × 74,542
  4. Step 4: Simplify right side
    134,158x = 13,800,562,759.36
  5. Step 5: Solve for x
    x = 13,800,562,759.36/134,158
  6. Step 6: Final answer
    x = 102,867.98

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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.