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Finding the Fourth Proportional to 133,810.98, 200,322.81 and 89,327.40

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Solution

The fourth proportional to 133,810.98, 200,322.81 and 89,327.40 is: 133,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,810.98 : 200,322.81 = 89,327.40 : x
  2. Step 2: Convert to fraction form
    133,810.98/200,322.81 = 89,327.40/x
  3. Step 3: Cross multiply
    133,810.98x = 200,322.81 × 89,327.40
  4. Step 4: Simplify right side
    133,810.98x = 17,894,315,777.99
  5. Step 5: Solve for x
    x = 17,894,315,777.99/133,810.98
  6. Step 6: Final answer
    x = 133,728.31

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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.