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Finding the Fourth Proportional to 89,239, 133,858.50 and 33,835

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Solution

The fourth proportional to 89,239, 133,858.50 and 33,835 is: 50,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,239 : 133,858.50 = 33,835 : x
  2. Step 2: Convert to fraction form
    89,239/133,858.50 = 33,835/x
  3. Step 3: Cross multiply
    89,239x = 133,858.50 × 33,835
  4. Step 4: Simplify right side
    89,239x = 4,529,102,347.50
  5. Step 5: Solve for x
    x = 4,529,102,347.50/89,239
  6. Step 6: Final answer
    x = 50,752.50

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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.