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Finding the Fourth Proportional to 148,798.21, 205,343.01 and 80,816.51

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Solution

The fourth proportional to 148,798.21, 205,343.01 and 80,816.51 is: 111,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,798.21 : 205,343.01 = 80,816.51 : x
  2. Step 2: Convert to fraction form
    148,798.21/205,343.01 = 80,816.51/x
  3. Step 3: Cross multiply
    148,798.21x = 205,343.01 × 80,816.51
  4. Step 4: Simplify right side
    148,798.21x = 16,595,105,934.45
  5. Step 5: Solve for x
    x = 16,595,105,934.45/148,798.21
  6. Step 6: Final answer
    x = 111,527.59

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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.