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Finding the Fourth Proportional to 133,773.04, 200,678.04 and 77,639.59

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Solution

The fourth proportional to 133,773.04, 200,678.04 and 77,639.59 is: 116,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,773.04 : 200,678.04 = 77,639.59 : x
  2. Step 2: Convert to fraction form
    133,773.04/200,678.04 = 77,639.59/x
  3. Step 3: Cross multiply
    133,773.04x = 200,678.04 × 77,639.59
  4. Step 4: Simplify right side
    133,773.04x = 15,580,560,747.60
  5. Step 5: Solve for x
    x = 15,580,560,747.60/133,773.04
  6. Step 6: Final answer
    x = 116,470.11

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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.