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Finding the Fourth Proportional to 148,858.50, 205,424.73 and 81,790.50

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Solution

The fourth proportional to 148,858.50, 205,424.73 and 81,790.50 is: 112,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,858.50 : 205,424.73 = 81,790.50 : x
  2. Step 2: Convert to fraction form
    148,858.50/205,424.73 = 81,790.50/x
  3. Step 3: Cross multiply
    148,858.50x = 205,424.73 × 81,790.50
  4. Step 4: Simplify right side
    148,858.50x = 16,801,791,379.07
  5. Step 5: Solve for x
    x = 16,801,791,379.07/148,858.50
  6. Step 6: Final answer
    x = 112,870.89

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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.