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Finding the Fourth Proportional to 252,189.84, 378,243.18 and 102,424.08

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Solution

The fourth proportional to 252,189.84, 378,243.18 and 102,424.08 is: 153,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,189.84 : 378,243.18 = 102,424.08 : x
  2. Step 2: Convert to fraction form
    252,189.84/378,243.18 = 102,424.08/x
  3. Step 3: Cross multiply
    252,189.84x = 378,243.18 × 102,424.08
  4. Step 4: Simplify right side
    252,189.84x = 38,741,209,727.77
  5. Step 5: Solve for x
    x = 38,741,209,727.77/252,189.84
  6. Step 6: Final answer
    x = 153,619.23

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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.