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Finding the Fourth Proportional to 148,125, 204,412.50 and 81,057

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Solution

The fourth proportional to 148,125, 204,412.50 and 81,057 is: 111,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,125 : 204,412.50 = 81,057 : x
  2. Step 2: Convert to fraction form
    148,125/204,412.50 = 81,057/x
  3. Step 3: Cross multiply
    148,125x = 204,412.50 × 81,057
  4. Step 4: Simplify right side
    148,125x = 16,569,064,012.50
  5. Step 5: Solve for x
    x = 16,569,064,012.50/148,125
  6. Step 6: Final answer
    x = 111,858.66

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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.