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Finding the Fourth Proportional to 153,709.94, 212,125.00 and 89,174.31

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Solution

The fourth proportional to 153,709.94, 212,125.00 and 89,174.31 is: 123,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,709.94 : 212,125.00 = 89,174.31 : x
  2. Step 2: Convert to fraction form
    153,709.94/212,125.00 = 89,174.31/x
  3. Step 3: Cross multiply
    153,709.94x = 212,125.00 × 89,174.31
  4. Step 4: Simplify right side
    153,709.94x = 18,916,100,285.81
  5. Step 5: Solve for x
    x = 18,916,100,285.81/153,709.94
  6. Step 6: Final answer
    x = 123,063.61

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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.