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Finding the Fourth Proportional to 133,756.12, 200,617.74 and 77,626.75

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Solution

The fourth proportional to 133,756.12, 200,617.74 and 77,626.75 is: 116,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,756.12 : 200,617.74 = 77,626.75 : x
  2. Step 2: Convert to fraction form
    133,756.12/200,617.74 = 77,626.75/x
  3. Step 3: Cross multiply
    133,756.12x = 200,617.74 × 77,626.75
  4. Step 4: Simplify right side
    133,756.12x = 15,573,303,148.55
  5. Step 5: Solve for x
    x = 15,573,303,148.55/133,756.12
  6. Step 6: Final answer
    x = 116,430.58

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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.