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Finding the Fourth Proportional to 133,814.94, 200,722.78 and 45,130.74

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Solution

The fourth proportional to 133,814.94, 200,722.78 and 45,130.74 is: 67,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,814.94 : 200,722.78 = 45,130.74 : x
  2. Step 2: Convert to fraction form
    133,814.94/200,722.78 = 45,130.74/x
  3. Step 3: Cross multiply
    133,814.94x = 200,722.78 × 45,130.74
  4. Step 4: Simplify right side
    133,814.94x = 9,058,767,596.26
  5. Step 5: Solve for x
    x = 9,058,767,596.26/133,814.94
  6. Step 6: Final answer
    x = 67,696.23

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1.5x scale

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.