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Finding the Fourth Proportional to 135,468.34, 186,949.32 and 77,323.90

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Solution

The fourth proportional to 135,468.34, 186,949.32 and 77,323.90 is: 106,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468.34 : 186,949.32 = 77,323.90 : x
  2. Step 2: Convert to fraction form
    135,468.34/186,949.32 = 77,323.90/x
  3. Step 3: Cross multiply
    135,468.34x = 186,949.32 × 77,323.90
  4. Step 4: Simplify right side
    135,468.34x = 14,455,650,524.75
  5. Step 5: Solve for x
    x = 14,455,650,524.75/135,468.34
  6. Step 6: Final answer
    x = 106,708.70

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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.