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Finding the Fourth Proportional to 99,338.63, 149,009.70 and 43,178.77

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Solution

The fourth proportional to 99,338.63, 149,009.70 and 43,178.77 is: 64,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,338.63 : 149,009.70 = 43,178.77 : x
  2. Step 2: Convert to fraction form
    99,338.63/149,009.70 = 43,178.77/x
  3. Step 3: Cross multiply
    99,338.63x = 149,009.70 × 43,178.77
  4. Step 4: Simplify right side
    99,338.63x = 6,434,054,819.02
  5. Step 5: Solve for x
    x = 6,434,054,819.02/99,338.63
  6. Step 6: Final answer
    x = 64,768.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.