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Finding the Fourth Proportional to 200,008.40, 300,047.16 and 81,744.08

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Solution

The fourth proportional to 200,008.40, 300,047.16 and 81,744.08 is: 122,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,008.40 : 300,047.16 = 81,744.08 : x
  2. Step 2: Convert to fraction form
    200,008.40/300,047.16 = 81,744.08/x
  3. Step 3: Cross multiply
    200,008.40x = 300,047.16 × 81,744.08
  4. Step 4: Simplify right side
    200,008.40x = 24,527,079,050.81
  5. Step 5: Solve for x
    x = 24,527,079,050.81/200,008.40
  6. Step 6: Final answer
    x = 122,630.24

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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.