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Finding the Fourth Proportional to 133,994.54, 200,729.04 and 77,716.40

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Solution

The fourth proportional to 133,994.54, 200,729.04 and 77,716.40 is: 116,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,994.54 : 200,729.04 = 77,716.40 : x
  2. Step 2: Convert to fraction form
    133,994.54/200,729.04 = 77,716.40/x
  3. Step 3: Cross multiply
    133,994.54x = 200,729.04 × 77,716.40
  4. Step 4: Simplify right side
    133,994.54x = 15,599,938,364.26
  5. Step 5: Solve for x
    x = 15,599,938,364.26/133,994.54
  6. Step 6: Final answer
    x = 116,422.19

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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.